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Finding the Fourth Proportional to 494,011.30, 681,735.67 and 267,656.80

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Solution

The fourth proportional to 494,011.30, 681,735.67 and 267,656.80 is: 369,366.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,011.30 : 681,735.67 = 267,656.80 : x
  2. Step 2: Convert to fraction form
    494,011.30/681,735.67 = 267,656.80/x
  3. Step 3: Cross multiply
    494,011.30x = 681,735.67 × 267,656.80
  4. Step 4: Simplify right side
    494,011.30x = 182,471,187,878.06
  5. Step 5: Solve for x
    x = 182,471,187,878.06/494,011.30
  6. Step 6: Final answer
    x = 369,366.43

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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.