Events $A, B, C$ are such that $P(A \cap B) = 0.1$, $P(A \cap C) = 0.2$, $P(B \cap C) = 0.05$, and $P(A \cap B \cap C) = 0.02$. Find $P(A \cup B \cup C)$ if $P(A)=0.4, P(B)=0.3, P(C)=0.4$.