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Finding the Fourth Proportional to 349,576.28, 482,456.22 and 198,695.96

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Solution

The fourth proportional to 349,576.28, 482,456.22 and 198,695.96 is: 274,223.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,576.28 : 482,456.22 = 198,695.96 : x
  2. Step 2: Convert to fraction form
    349,576.28/482,456.22 = 198,695.96/x
  3. Step 3: Cross multiply
    349,576.28x = 482,456.22 × 198,695.96
  4. Step 4: Simplify right side
    349,576.28x = 95,862,101,790.87
  5. Step 5: Solve for x
    x = 95,862,101,790.87/349,576.28
  6. Step 6: Final answer
    x = 274,223.70

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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.