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Finding the Fourth Proportional to 361,494.30, 498,862.17 and 200,359.74

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Solution

The fourth proportional to 361,494.30, 498,862.17 and 200,359.74 is: 276,496.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,494.30 : 498,862.17 = 200,359.74 : x
  2. Step 2: Convert to fraction form
    361,494.30/498,862.17 = 200,359.74/x
  3. Step 3: Cross multiply
    361,494.30x = 498,862.17 × 200,359.74
  4. Step 4: Simplify right side
    361,494.30x = 99,951,894,677.04
  5. Step 5: Solve for x
    x = 99,951,894,677.04/361,494.30
  6. Step 6: Final answer
    x = 276,496.46

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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.