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Finding the Fourth Proportional to 361,049.43, 498,252.15 and 199,907.31

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Solution

The fourth proportional to 361,049.43, 498,252.15 and 199,907.31 is: 275,874.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,049.43 : 498,252.15 = 199,907.31 : x
  2. Step 2: Convert to fraction form
    361,049.43/498,252.15 = 199,907.31/x
  3. Step 3: Cross multiply
    361,049.43x = 498,252.15 × 199,907.31
  4. Step 4: Simplify right side
    361,049.43x = 99,604,247,008.22
  5. Step 5: Solve for x
    x = 99,604,247,008.22/361,049.43
  6. Step 6: Final answer
    x = 275,874.27

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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.