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Finding the Fourth Proportional to 458,568.60, 687,950.10 and 138,694.20

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Solution

The fourth proportional to 458,568.60, 687,950.10 and 138,694.20 is: 208,070.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,568.60 : 687,950.10 = 138,694.20 : x
  2. Step 2: Convert to fraction form
    458,568.60/687,950.10 = 138,694.20/x
  3. Step 3: Cross multiply
    458,568.60x = 687,950.10 × 138,694.20
  4. Step 4: Simplify right side
    458,568.60x = 95,414,688,759.42
  5. Step 5: Solve for x
    x = 95,414,688,759.42/458,568.60
  6. Step 6: Final answer
    x = 208,070.70

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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.