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Finding the Fourth Proportional to 684,560.38, 944,404.05 and 458,278.78

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Solution

The fourth proportional to 684,560.38, 944,404.05 and 458,278.78 is: 632,231.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,560.38 : 944,404.05 = 458,278.78 : x
  2. Step 2: Convert to fraction form
    684,560.38/944,404.05 = 458,278.78/x
  3. Step 3: Cross multiply
    684,560.38x = 944,404.05 × 458,278.78
  4. Step 4: Simplify right side
    684,560.38x = 432,800,335,861.06
  5. Step 5: Solve for x
    x = 432,800,335,861.06/684,560.38
  6. Step 6: Final answer
    x = 632,231.06

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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.