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Finding the Fourth Proportional to 494,009.80, 681,733.59 and 267,655.30

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Solution

The fourth proportional to 494,009.80, 681,733.59 and 267,655.30 is: 369,364.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,009.80 : 681,733.59 = 267,655.30 : x
  2. Step 2: Convert to fraction form
    494,009.80/681,733.59 = 267,655.30/x
  3. Step 3: Cross multiply
    494,009.80x = 681,733.59 × 267,655.30
  4. Step 4: Simplify right side
    494,009.80x = 182,469,608,551.53
  5. Step 5: Solve for x
    x = 182,469,608,551.53/494,009.80
  6. Step 6: Final answer
    x = 369,364.35

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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.