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Finding the Fourth Proportional to 564,689.72, 847,045.42 and 138,229.18

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Solution

The fourth proportional to 564,689.72, 847,045.42 and 138,229.18 is: 207,346.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,689.72 : 847,045.42 = 138,229.18 : x
  2. Step 2: Convert to fraction form
    564,689.72/847,045.42 = 138,229.18/x
  3. Step 3: Cross multiply
    564,689.72x = 847,045.42 × 138,229.18
  4. Step 4: Simplify right side
    564,689.72x = 117,086,393,829.36
  5. Step 5: Solve for x
    x = 117,086,393,829.36/564,689.72
  6. Step 6: Final answer
    x = 207,346.42

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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.