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Finding the Fourth Proportional to 494,132.20, 741,129.18 and 161,665

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Solution

The fourth proportional to 494,132.20, 741,129.18 and 161,665 is: 242,474.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,132.20 : 741,129.18 = 161,665 : x
  2. Step 2: Convert to fraction form
    494,132.20/741,129.18 = 161,665/x
  3. Step 3: Cross multiply
    494,132.20x = 741,129.18 × 161,665
  4. Step 4: Simplify right side
    494,132.20x = 119,814,648,884.70
  5. Step 5: Solve for x
    x = 119,814,648,884.70/494,132.20
  6. Step 6: Final answer
    x = 242,474.89

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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.