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Finding the Fourth Proportional to 494,098.60, 741,147.90 and 161,708.20

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Solution

The fourth proportional to 494,098.60, 741,147.90 and 161,708.20 is: 242,562.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,098.60 : 741,147.90 = 161,708.20 : x
  2. Step 2: Convert to fraction form
    494,098.60/741,147.90 = 161,708.20/x
  3. Step 3: Cross multiply
    494,098.60x = 741,147.90 × 161,708.20
  4. Step 4: Simplify right side
    494,098.60x = 119,849,692,842.78
  5. Step 5: Solve for x
    x = 119,849,692,842.78/494,098.60
  6. Step 6: Final answer
    x = 242,562.30

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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.