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Finding the Fourth Proportional to 409,781.40, 614,321.52 and 157,243.11

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Solution

The fourth proportional to 409,781.40, 614,321.52 and 157,243.11 is: 235,730.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,781.40 : 614,321.52 = 157,243.11 : x
  2. Step 2: Convert to fraction form
    409,781.40/614,321.52 = 157,243.11/x
  3. Step 3: Cross multiply
    409,781.40x = 614,321.52 × 157,243.11
  4. Step 4: Simplify right side
    409,781.40x = 96,597,826,344.73
  5. Step 5: Solve for x
    x = 96,597,826,344.73/409,781.40
  6. Step 6: Final answer
    x = 235,730.14

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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.