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Finding the Fourth Proportional to 616,614.56, 924,473.28 and 416,438.72

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Solution

The fourth proportional to 616,614.56, 924,473.28 and 416,438.72 is: 624,355.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,614.56 : 924,473.28 = 416,438.72 : x
  2. Step 2: Convert to fraction form
    616,614.56/924,473.28 = 416,438.72/x
  3. Step 3: Cross multiply
    616,614.56x = 924,473.28 × 416,438.72
  4. Step 4: Simplify right side
    616,614.56x = 384,986,469,397.40
  5. Step 5: Solve for x
    x = 384,986,469,397.40/616,614.56
  6. Step 6: Final answer
    x = 624,355.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.