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Finding the Fourth Proportional to 361,104.66, 498,324.15 and 199,959.71

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Solution

The fourth proportional to 361,104.66, 498,324.15 and 199,959.71 is: 275,944.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,104.66 : 498,324.15 = 199,959.71 : x
  2. Step 2: Convert to fraction form
    361,104.66/498,324.15 = 199,959.71/x
  3. Step 3: Cross multiply
    361,104.66x = 498,324.15 × 199,959.71
  4. Step 4: Simplify right side
    361,104.66x = 99,644,750,028.38
  5. Step 5: Solve for x
    x = 99,644,750,028.38/361,104.66
  6. Step 6: Final answer
    x = 275,944.24

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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.