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Finding the Fourth Proportional to 361,096.08, 498,306.49 and 199,947.66

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Solution

The fourth proportional to 361,096.08, 498,306.49 and 199,947.66 is: 275,924.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,096.08 : 498,306.49 = 199,947.66 : x
  2. Step 2: Convert to fraction form
    361,096.08/498,306.49 = 199,947.66/x
  3. Step 3: Cross multiply
    361,096.08x = 498,306.49 × 199,947.66
  4. Step 4: Simplify right side
    361,096.08x = 99,635,216,638.31
  5. Step 5: Solve for x
    x = 99,635,216,638.31/361,096.08
  6. Step 6: Final answer
    x = 275,924.39

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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.