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Finding the Fourth Proportional to 398,127.76, 597,187.92 and 161,414.18

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Solution

The fourth proportional to 398,127.76, 597,187.92 and 161,414.18 is: 242,119.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,127.76 : 597,187.92 = 161,414.18 : x
  2. Step 2: Convert to fraction form
    398,127.76/597,187.92 = 161,414.18/x
  3. Step 3: Cross multiply
    398,127.76x = 597,187.92 × 161,414.18
  4. Step 4: Simplify right side
    398,127.76x = 96,394,598,412.71
  5. Step 5: Solve for x
    x = 96,394,598,412.71/398,127.76
  6. Step 6: Final answer
    x = 242,119.76

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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.