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Finding the Fourth Proportional to 564,680.97, 847,044.54 and 143,967.78

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Solution

The fourth proportional to 564,680.97, 847,044.54 and 143,967.78 is: 215,957.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,680.97 : 847,044.54 = 143,967.78 : x
  2. Step 2: Convert to fraction form
    564,680.97/847,044.54 = 143,967.78/x
  3. Step 3: Cross multiply
    564,680.97x = 847,044.54 × 143,967.78
  4. Step 4: Simplify right side
    564,680.97x = 121,947,121,984.92
  5. Step 5: Solve for x
    x = 121,947,121,984.92/564,680.97
  6. Step 6: Final answer
    x = 215,957.56

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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.