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Finding the Fourth Proportional to 494,033.21, 681,766.28 and 267,678.71

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Solution

The fourth proportional to 494,033.21, 681,766.28 and 267,678.71 is: 369,396.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,033.21 : 681,766.28 = 267,678.71 : x
  2. Step 2: Convert to fraction form
    494,033.21/681,766.28 = 267,678.71/x
  3. Step 3: Cross multiply
    494,033.21x = 681,766.28 × 267,678.71
  4. Step 4: Simplify right side
    494,033.21x = 182,494,318,351.90
  5. Step 5: Solve for x
    x = 182,494,318,351.90/494,033.21
  6. Step 6: Final answer
    x = 369,396.86

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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.