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Finding the Fourth Proportional to 766,640.97, 1,057,988.43 and 440,013.42

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Solution

The fourth proportional to 766,640.97, 1,057,988.43 and 440,013.42 is: 607,232.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,640.97 : 1,057,988.43 = 440,013.42 : x
  2. Step 2: Convert to fraction form
    766,640.97/1,057,988.43 = 440,013.42/x
  3. Step 3: Cross multiply
    766,640.97x = 1,057,988.43 × 440,013.42
  4. Step 4: Simplify right side
    766,640.97x = 465,529,107,404.73
  5. Step 5: Solve for x
    x = 465,529,107,404.73/766,640.97
  6. Step 6: Final answer
    x = 607,232.23

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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.