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Finding the Fourth Proportional to 274,694.40, 411,350.40 and 180,691.20

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Solution

The fourth proportional to 274,694.40, 411,350.40 and 180,691.20 is: 270,582.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,694.40 : 411,350.40 = 180,691.20 : x
  2. Step 2: Convert to fraction form
    274,694.40/411,350.40 = 180,691.20/x
  3. Step 3: Cross multiply
    274,694.40x = 411,350.40 × 180,691.20
  4. Step 4: Simplify right side
    274,694.40x = 74,327,397,396.48
  5. Step 5: Solve for x
    x = 74,327,397,396.48/274,694.40
  6. Step 6: Final answer
    x = 270,582.14

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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.