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Finding the Fourth Proportional to 410,257.96, 614,195.14 and 238,957.36

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Solution

The fourth proportional to 410,257.96, 614,195.14 and 238,957.36 is: 357,741.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,257.96 : 614,195.14 = 238,957.36 : x
  2. Step 2: Convert to fraction form
    410,257.96/614,195.14 = 238,957.36/x
  3. Step 3: Cross multiply
    410,257.96x = 614,195.14 × 238,957.36
  4. Step 4: Simplify right side
    410,257.96x = 146,766,449,179.23
  5. Step 5: Solve for x
    x = 146,766,449,179.23/410,257.96
  6. Step 6: Final answer
    x = 357,741.87

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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.