To a point they can be raised together, generally speaking if you are going for fast growth to get the job done then they would need to be seperate. since each one you mentioned has different nutritional requirements for the fastest growth.
When they are chicks usually its advisable to keep them separate so they can be feed there different starter feeds. Once they get a little older or close to be feathered out, they can be intergrated.
You should also consider having them on some sort of grass, Normally pasture grass would not be the best, since that is usually broam grass which is not the best for native species or other domesticated poultry.
Many years ago I recall one relitives who raised ducks and geese along woth there chickens, They also had wild pheasants, and guail around.
Although yo do need to contain the phesants, guail, and possibly some turkeys as they might take off on you.
Ducks, geese, and chickens usually hang around.
Tom