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Finding the Fourth Proportional to 532,364.32, 734,653.08 and 302,916.60

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Solution

The fourth proportional to 532,364.32, 734,653.08 and 302,916.60 is: 418,019.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,364.32 : 734,653.08 = 302,916.60 : x
  2. Step 2: Convert to fraction form
    532,364.32/734,653.08 = 302,916.60/x
  3. Step 3: Cross multiply
    532,364.32x = 734,653.08 × 302,916.60
  4. Step 4: Simplify right side
    532,364.32x = 222,538,613,173.13
  5. Step 5: Solve for x
    x = 222,538,613,173.13/532,364.32
  6. Step 6: Final answer
    x = 418,019.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.