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Finding the Fourth Proportional to 361,213.92, 498,469.71 and 197,869.11

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Solution

The fourth proportional to 361,213.92, 498,469.71 and 197,869.11 is: 273,056.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,213.92 : 498,469.71 = 197,869.11 : x
  2. Step 2: Convert to fraction form
    361,213.92/498,469.71 = 197,869.11/x
  3. Step 3: Cross multiply
    361,213.92x = 498,469.71 × 197,869.11
  4. Step 4: Simplify right side
    361,213.92x = 98,631,757,879.66
  5. Step 5: Solve for x
    x = 98,631,757,879.66/361,213.92
  6. Step 6: Final answer
    x = 273,056.36

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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.