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Finding the Fourth Proportional to 361,091.26, 498,299.81 and 199,942.84

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Solution

The fourth proportional to 361,091.26, 498,299.81 and 199,942.84 is: 275,917.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,091.26 : 498,299.81 = 199,942.84 : x
  2. Step 2: Convert to fraction form
    361,091.26/498,299.81 = 199,942.84/x
  3. Step 3: Cross multiply
    361,091.26x = 498,299.81 × 199,942.84
  4. Step 4: Simplify right side
    361,091.26x = 99,631,478,436.97
  5. Step 5: Solve for x
    x = 99,631,478,436.97/361,091.26
  6. Step 6: Final answer
    x = 275,917.73

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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.