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Finding the Fourth Proportional to 274,034.60, 410,663.10 and 202,398.20

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Solution

The fourth proportional to 274,034.60, 410,663.10 and 202,398.20 is: 303,310.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,034.60 : 410,663.10 = 202,398.20 : x
  2. Step 2: Convert to fraction form
    274,034.60/410,663.10 = 202,398.20/x
  3. Step 3: Cross multiply
    274,034.60x = 410,663.10 × 202,398.20
  4. Step 4: Simplify right side
    274,034.60x = 83,117,472,246.42
  5. Step 5: Solve for x
    x = 83,117,472,246.42/274,034.60
  6. Step 6: Final answer
    x = 303,310.14

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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.