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Finding the Fourth Proportional to 418,416.52, 627,892.08 and 152,151.70

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Solution

The fourth proportional to 418,416.52, 627,892.08 and 152,151.70 is: 228,324.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,416.52 : 627,892.08 = 152,151.70 : x
  2. Step 2: Convert to fraction form
    418,416.52/627,892.08 = 152,151.70/x
  3. Step 3: Cross multiply
    418,416.52x = 627,892.08 × 152,151.70
  4. Step 4: Simplify right side
    418,416.52x = 95,534,847,388.54
  5. Step 5: Solve for x
    x = 95,534,847,388.54/418,416.52
  6. Step 6: Final answer
    x = 228,324.75

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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.