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Finding the Fourth Proportional to 276,576.48, 381,680.40 and 163,398.96

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Solution

The fourth proportional to 276,576.48, 381,680.40 and 163,398.96 is: 225,493.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,576.48 : 381,680.40 = 163,398.96 : x
  2. Step 2: Convert to fraction form
    276,576.48/381,680.40 = 163,398.96/x
  3. Step 3: Cross multiply
    276,576.48x = 381,680.40 × 163,398.96
  4. Step 4: Simplify right side
    276,576.48x = 62,366,180,412.38
  5. Step 5: Solve for x
    x = 62,366,180,412.38/276,576.48
  6. Step 6: Final answer
    x = 225,493.43

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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.