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Finding the Fourth Proportional to 458,523.60, 687,882.60 and 138,649.20

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Solution

The fourth proportional to 458,523.60, 687,882.60 and 138,649.20 is: 208,003.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,523.60 : 687,882.60 = 138,649.20 : x
  2. Step 2: Convert to fraction form
    458,523.60/687,882.60 = 138,649.20/x
  3. Step 3: Cross multiply
    458,523.60x = 687,882.60 × 138,649.20
  4. Step 4: Simplify right side
    458,523.60x = 95,374,372,183.92
  5. Step 5: Solve for x
    x = 95,374,372,183.92/458,523.60
  6. Step 6: Final answer
    x = 208,003.19

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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.