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Finding the Fourth Proportional to 494,009, 681,733.10 and 267,654.52

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Solution

The fourth proportional to 494,009, 681,733.10 and 267,654.52 is: 369,363.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,009 : 681,733.10 = 267,654.52 : x
  2. Step 2: Convert to fraction form
    494,009/681,733.10 = 267,654.52/x
  3. Step 3: Cross multiply
    494,009x = 681,733.10 × 267,654.52
  4. Step 4: Simplify right side
    494,009x = 182,468,945,648.61
  5. Step 5: Solve for x
    x = 182,468,945,648.61/494,009
  6. Step 6: Final answer
    x = 369,363.61

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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.