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Finding the Fourth Proportional to 369,167.97, 509,451.78 and 199,402.10

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Solution

The fourth proportional to 369,167.97, 509,451.78 and 199,402.10 is: 275,174.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,167.97 : 509,451.78 = 199,402.10 : x
  2. Step 2: Convert to fraction form
    369,167.97/509,451.78 = 199,402.10/x
  3. Step 3: Cross multiply
    369,167.97x = 509,451.78 × 199,402.10
  4. Step 4: Simplify right side
    369,167.97x = 101,585,752,233.48
  5. Step 5: Solve for x
    x = 101,585,752,233.48/369,167.97
  6. Step 6: Final answer
    x = 275,174.88

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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.