Let's 1st understand what these planets represent on their own?

3 planetary conjunction - Whenever 3 or more planets are conjunct with each other in a house/sign then things related to that house/sign become a kind of life focus for person. It is because of huge accumulation of energy within 30 degrees of sky. It means not only these 3 planets' energy is going into this house/sign but the energy of at least 4 to 6 house/sign is going into this house/sign as these planets will be ruling some houses too. So, this house/sign with conjunction becomes almost the most important house in chart. During Career Consultation, I give a huge importance to any such house which has 3 or more planets in it.

House Ruler - Besides these karaka things, Sun, Venus & Ketu will also rule some houses in your chart and will represent things related to that house. Of course we can't cover conjunctions Ascendant and house wise else it will never be over. So, you have to include things related to the houses at the time of interpreting this conjunction. Also, we need to keep in mind all Yogas and Raj-Yogas which their conjunction would be making to completely understand the conjunction. Here, we can only cover meaning as per karakas.

Meaning of Sun-Venus-Ketu Conjunction - It is another conjunction where relationship with Father & people in authority can go for a toss as person is born near Solar Eclipse. The nearer a person is born to eclipse, the more he sees such problems with Father & Authorities in life. As Venus is again conjunct two malefics, person can have serious issues in relationship. Closeness with Sun can make Venus combust and closeness with Ketu can make person feel separated in relationship. Person can feel lack of confidence, self-worth and kind of inferiority complex, at least in early life, due to Sun-Ketu together. If Venus is in between Sun & Ketu degree-wise then it creates paap-kartari yoga. So anyways, Venus is messed-up and so are relations. The difference between Venus-Rahu and Venus-Ketu is that Venus-Rahu may keep you in illusion or obsession of a better relationship all the time.It means person is always hopeful/illusioned about better relationship in future and illusion remains almost whole life but Ketu-Venus at some time makes a person reflect on relations and realize the futilityof efforts and makes him separate from relationships in this life time only. On positive side, person can be very much research oriented in matters of finance and creativity. They can make career in financial field or creativity but such realization may come late in life due to eclipse effect on Sun (Career). It is better for them to work on their own. 

Who will win the Conjunction? - As Ketu is impacting Sun & Venus both, Ketu is winning the conjunction. 

Dignity & Strength - 

In any sign/houses, results will be similar for Jeeva Karaka at least. In Pisces, it can make person highly spiritual.