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Finding the Fourth Proportional to 494,711.47, 682,702.05 and 279,846.97

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Solution

The fourth proportional to 494,711.47, 682,702.05 and 279,846.97 is: 386,188.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,711.47 : 682,702.05 = 279,846.97 : x
  2. Step 2: Convert to fraction form
    494,711.47/682,702.05 = 279,846.97/x
  3. Step 3: Cross multiply
    494,711.47x = 682,702.05 × 279,846.97
  4. Step 4: Simplify right side
    494,711.47x = 191,052,100,105.29
  5. Step 5: Solve for x
    x = 191,052,100,105.29/494,711.47
  6. Step 6: Final answer
    x = 386,188.94

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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.