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Finding the Fourth Proportional to 418,497.60, 627,697.80 and 119,024.40

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Solution

The fourth proportional to 418,497.60, 627,697.80 and 119,024.40 is: 178,522.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,497.60 : 627,697.80 = 119,024.40 : x
  2. Step 2: Convert to fraction form
    418,497.60/627,697.80 = 119,024.40/x
  3. Step 3: Cross multiply
    418,497.60x = 627,697.80 × 119,024.40
  4. Step 4: Simplify right side
    418,497.60x = 74,711,354,026.32
  5. Step 5: Solve for x
    x = 74,711,354,026.32/418,497.60
  6. Step 6: Final answer
    x = 178,522.78

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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.