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Finding the Fourth Proportional to 494,002.72, 681,724.65 and 267,648.22

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Solution

The fourth proportional to 494,002.72, 681,724.65 and 267,648.22 is: 369,355.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,002.72 : 681,724.65 = 267,648.22 : x
  2. Step 2: Convert to fraction form
    494,002.72/681,724.65 = 267,648.22/x
  3. Step 3: Cross multiply
    494,002.72x = 681,724.65 × 267,648.22
  4. Step 4: Simplify right side
    494,002.72x = 182,462,389,102.62
  5. Step 5: Solve for x
    x = 182,462,389,102.62/494,002.72
  6. Step 6: Final answer
    x = 369,355.03

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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.