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Finding the Fourth Proportional to 765,681, 1,148,531.22 and 267,045

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Solution

The fourth proportional to 765,681, 1,148,531.22 and 267,045 is: 400,570.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,681 : 1,148,531.22 = 267,045 : x
  2. Step 2: Convert to fraction form
    765,681/1,148,531.22 = 267,045/x
  3. Step 3: Cross multiply
    765,681x = 1,148,531.22 × 267,045
  4. Step 4: Simplify right side
    765,681x = 306,709,519,644.90
  5. Step 5: Solve for x
    x = 306,709,519,644.90/765,681
  6. Step 6: Final answer
    x = 400,570.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.