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Finding the Fourth Proportional to 541,022.82, 746,545.32 and 299,272.38

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Solution

The fourth proportional to 541,022.82, 746,545.32 and 299,272.38 is: 412,959.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,022.82 : 746,545.32 = 299,272.38 : x
  2. Step 2: Convert to fraction form
    541,022.82/746,545.32 = 299,272.38/x
  3. Step 3: Cross multiply
    541,022.82x = 746,545.32 × 299,272.38
  4. Step 4: Simplify right side
    541,022.82x = 223,420,394,694.26
  5. Step 5: Solve for x
    x = 223,420,394,694.26/541,022.82
  6. Step 6: Final answer
    x = 412,959.28

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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.