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Finding the Fourth Proportional to 542,206.60, 747,773.58 and 406,545.64

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Solution

The fourth proportional to 542,206.60, 747,773.58 and 406,545.64 is: 560,679.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,206.60 : 747,773.58 = 406,545.64 : x
  2. Step 2: Convert to fraction form
    542,206.60/747,773.58 = 406,545.64/x
  3. Step 3: Cross multiply
    542,206.60x = 747,773.58 × 406,545.64
  4. Step 4: Simplify right side
    542,206.60x = 304,004,088,656.19
  5. Step 5: Solve for x
    x = 304,004,088,656.19/542,206.60
  6. Step 6: Final answer
    x = 560,679.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.