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Finding the Fourth Proportional to 616,711.70, 924,376.35 and 261,665.30

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Solution

The fourth proportional to 616,711.70, 924,376.35 and 261,665.30 is: 392,204.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,711.70 : 924,376.35 = 261,665.30 : x
  2. Step 2: Convert to fraction form
    616,711.70/924,376.35 = 261,665.30/x
  3. Step 3: Cross multiply
    616,711.70x = 924,376.35 × 261,665.30
  4. Step 4: Simplify right side
    616,711.70x = 241,877,214,935.66
  5. Step 5: Solve for x
    x = 241,877,214,935.66/616,711.70
  6. Step 6: Final answer
    x = 392,204.68

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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.