If you are referring to a professional fight career, sure. They are all great arts when trained properly. All the best.
successful in what? Looking for a career in one of them? My mate does Muay Thai professionally quite regularly. On the side he will do a bit of boxing just to increase his skills with his hands.
If you want to fight in muay thai then train just muay thai. I don't see the point in going to train boxing if you're not going to be a boxer. To you it looks the same because you are inexperienced. To me there is a huge difference. Boxing in boxing is not the same as boxing in muay thai so going to boxing class is pointless.
Would I be successful if I did these three?