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Finding the Fourth Proportional to 361,006.77, 498,170.40 and 197,631.96

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Solution

The fourth proportional to 361,006.77, 498,170.40 and 197,631.96 is: 272,721.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,006.77 : 498,170.40 = 197,631.96 : x
  2. Step 2: Convert to fraction form
    361,006.77/498,170.40 = 197,631.96/x
  3. Step 3: Cross multiply
    361,006.77x = 498,170.40 × 197,631.96
  4. Step 4: Simplify right side
    361,006.77x = 98,454,392,565.98
  5. Step 5: Solve for x
    x = 98,454,392,565.98/361,006.77
  6. Step 6: Final answer
    x = 272,721.73

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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.