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Finding the Fourth Proportional to 675,753.80, 932,391.42 and 403,781

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Solution

The fourth proportional to 675,753.80, 932,391.42 and 403,781 is: 557,128.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,753.80 : 932,391.42 = 403,781 : x
  2. Step 2: Convert to fraction form
    675,753.80/932,391.42 = 403,781/x
  3. Step 3: Cross multiply
    675,753.80x = 932,391.42 × 403,781
  4. Step 4: Simplify right side
    675,753.80x = 376,481,939,959.02
  5. Step 5: Solve for x
    x = 376,481,939,959.02/675,753.80
  6. Step 6: Final answer
    x = 557,128.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.