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Finding the Fourth Proportional to 766,380, 1,149,589.44 and 267,744

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Solution

The fourth proportional to 766,380, 1,149,589.44 and 267,744 is: 401,622.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,380 : 1,149,589.44 = 267,744 : x
  2. Step 2: Convert to fraction form
    766,380/1,149,589.44 = 267,744/x
  3. Step 3: Cross multiply
    766,380x = 1,149,589.44 × 267,744
  4. Step 4: Simplify right side
    766,380x = 307,795,675,023.36
  5. Step 5: Solve for x
    x = 307,795,675,023.36/766,380
  6. Step 6: Final answer
    x = 401,622.79

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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.