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Finding the Fourth Proportional to 494,002.97, 681,725.00 and 267,648.47

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Solution

The fourth proportional to 494,002.97, 681,725.00 and 267,648.47 is: 369,355.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,002.97 : 681,725.00 = 267,648.47 : x
  2. Step 2: Convert to fraction form
    494,002.97/681,725.00 = 267,648.47/x
  3. Step 3: Cross multiply
    494,002.97x = 681,725.00 × 267,648.47
  4. Step 4: Simplify right side
    494,002.97x = 182,462,651,872.51
  5. Step 5: Solve for x
    x = 182,462,651,872.51/494,002.97
  6. Step 6: Final answer
    x = 369,355.37

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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.