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Finding the Fourth Proportional to 279,757.72, 419,930.10 and 247,940.46

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Solution

The fourth proportional to 279,757.72, 419,930.10 and 247,940.46 is: 372,170.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,757.72 : 419,930.10 = 247,940.46 : x
  2. Step 2: Convert to fraction form
    279,757.72/419,930.10 = 247,940.46/x
  3. Step 3: Cross multiply
    279,757.72x = 419,930.10 × 247,940.46
  4. Step 4: Simplify right side
    279,757.72x = 104,117,660,583.44
  5. Step 5: Solve for x
    x = 104,117,660,583.44/279,757.72
  6. Step 6: Final answer
    x = 372,170.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.