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Finding the Fourth Proportional to 755,578.91, 1,042,689.81 and 411,414.73

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Solution

The fourth proportional to 755,578.91, 1,042,689.81 and 411,414.73 is: 567,747.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    755,578.91 : 1,042,689.81 = 411,414.73 : x
  2. Step 2: Convert to fraction form
    755,578.91/1,042,689.81 = 411,414.73/x
  3. Step 3: Cross multiply
    755,578.91x = 1,042,689.81 × 411,414.73
  4. Step 4: Simplify right side
    755,578.91x = 428,977,944,597.83
  5. Step 5: Solve for x
    x = 428,977,944,597.83/755,578.91
  6. Step 6: Final answer
    x = 567,747.38

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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.