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Finding the Fourth Proportional to 494,098.84, 681,856.75 and 267,744.34

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Solution

The fourth proportional to 494,098.84, 681,856.75 and 267,744.34 is: 369,487.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,098.84 : 681,856.75 = 267,744.34 : x
  2. Step 2: Convert to fraction form
    494,098.84/681,856.75 = 267,744.34/x
  3. Step 3: Cross multiply
    494,098.84x = 681,856.75 × 267,744.34
  4. Step 4: Simplify right side
    494,098.84x = 182,563,285,503.30
  5. Step 5: Solve for x
    x = 182,563,285,503.30/494,098.84
  6. Step 6: Final answer
    x = 369,487.38

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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.