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Finding the Fourth Proportional to 494,012.36, 681,737.13 and 267,657.86

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Solution

The fourth proportional to 494,012.36, 681,737.13 and 267,657.86 is: 369,367.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,012.36 : 681,737.13 = 267,657.86 : x
  2. Step 2: Convert to fraction form
    494,012.36/681,737.13 = 267,657.86/x
  3. Step 3: Cross multiply
    494,012.36x = 681,737.13 × 267,657.86
  4. Step 4: Simplify right side
    494,012.36x = 182,472,301,298.34
  5. Step 5: Solve for x
    x = 182,472,301,298.34/494,012.36
  6. Step 6: Final answer
    x = 369,367.89

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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.