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Finding the Fourth Proportional to 494,006, 681,728.96 and 267,651.52

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Solution

The fourth proportional to 494,006, 681,728.96 and 267,651.52 is: 369,359.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,006 : 681,728.96 = 267,651.52 : x
  2. Step 2: Convert to fraction form
    494,006/681,728.96 = 267,651.52/x
  3. Step 3: Cross multiply
    494,006x = 681,728.96 × 267,651.52
  4. Step 4: Simplify right side
    494,006x = 182,465,792,372.02
  5. Step 5: Solve for x
    x = 182,465,792,372.02/494,006
  6. Step 6: Final answer
    x = 369,359.47

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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.