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Finding the Fourth Proportional to 564,964.20, 847,447.70 and 138,501.90

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Solution

The fourth proportional to 564,964.20, 847,447.70 and 138,501.90 is: 207,753.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,964.20 : 847,447.70 = 138,501.90 : x
  2. Step 2: Convert to fraction form
    564,964.20/847,447.70 = 138,501.90/x
  3. Step 3: Cross multiply
    564,964.20x = 847,447.70 × 138,501.90
  4. Step 4: Simplify right side
    564,964.20x = 117,373,116,600.63
  5. Step 5: Solve for x
    x = 117,373,116,600.63/564,964.20
  6. Step 6: Final answer
    x = 207,753.19

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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.