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Finding the Fourth Proportional to 564,732.97, 847,083.29 and 159,924.22

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Solution

The fourth proportional to 564,732.97, 847,083.29 and 159,924.22 is: 239,881.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,732.97 : 847,083.29 = 159,924.22 : x
  2. Step 2: Convert to fraction form
    564,732.97/847,083.29 = 159,924.22/x
  3. Step 3: Cross multiply
    564,732.97x = 847,083.29 × 159,924.22
  4. Step 4: Simplify right side
    564,732.97x = 135,469,132,472.90
  5. Step 5: Solve for x
    x = 135,469,132,472.90/564,732.97
  6. Step 6: Final answer
    x = 239,881.75

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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.