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Finding the Fourth Proportional to 410,197.74, 614,472.42 and 204,411.66

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Solution

The fourth proportional to 410,197.74, 614,472.42 and 204,411.66 is: 306,206.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,197.74 : 614,472.42 = 204,411.66 : x
  2. Step 2: Convert to fraction form
    410,197.74/614,472.42 = 204,411.66/x
  3. Step 3: Cross multiply
    410,197.74x = 614,472.42 × 204,411.66
  4. Step 4: Simplify right side
    410,197.74x = 125,605,327,396.42
  5. Step 5: Solve for x
    x = 125,605,327,396.42/410,197.74
  6. Step 6: Final answer
    x = 306,206.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.