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Finding the Fourth Proportional to 361,095.93, 498,306.29 and 199,947.53

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Solution

The fourth proportional to 361,095.93, 498,306.29 and 199,947.53 is: 275,924.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,095.93 : 498,306.29 = 199,947.53 : x
  2. Step 2: Convert to fraction form
    361,095.93/498,306.29 = 199,947.53/x
  3. Step 3: Cross multiply
    361,095.93x = 498,306.29 × 199,947.53
  4. Step 4: Simplify right side
    361,095.93x = 99,635,108,377.69
  5. Step 5: Solve for x
    x = 99,635,108,377.69/361,095.93
  6. Step 6: Final answer
    x = 275,924.21

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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.