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Finding the Fourth Proportional to 398,717.38, 550,243.27 and 217,439.20

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Solution

The fourth proportional to 398,717.38, 550,243.27 and 217,439.20 is: 300,073.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,717.38 : 550,243.27 = 217,439.20 : x
  2. Step 2: Convert to fraction form
    398,717.38/550,243.27 = 217,439.20/x
  3. Step 3: Cross multiply
    398,717.38x = 550,243.27 × 217,439.20
  4. Step 4: Simplify right side
    398,717.38x = 119,644,456,434.18
  5. Step 5: Solve for x
    x = 119,644,456,434.18/398,717.38
  6. Step 6: Final answer
    x = 300,073.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.