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Finding the Fourth Proportional to 361,096.29, 498,306.79 and 199,947.88

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Solution

The fourth proportional to 361,096.29, 498,306.79 and 199,947.88 is: 275,924.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,096.29 : 498,306.79 = 199,947.88 : x
  2. Step 2: Convert to fraction form
    361,096.29/498,306.79 = 199,947.88/x
  3. Step 3: Cross multiply
    361,096.29x = 498,306.79 × 199,947.88
  4. Step 4: Simplify right side
    361,096.29x = 99,635,387,685.28
  5. Step 5: Solve for x
    x = 99,635,387,685.28/361,096.29
  6. Step 6: Final answer
    x = 275,924.70

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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.