'A' and 'S' ventured into a business with initial investments of Rs. "w + 32" and Rs.'w', respectively. After 'x' months, 'V' joined them with an initial investment that was 20% greater than 'A's initial investment. At the conclusion of '2x' months, the ratio of profit shares for A, S, and V was 6x:14y:9z, respectively. Determine which of the following relation(s) holds true in this scenario.
I. z = 0.4x
II. w = 448y/[15z – 14y]
III. w = 224y/[3x – 7y]