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Finding the Fourth Proportional to 361,099.68, 498,313.80 and 199,961.52

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Solution

The fourth proportional to 361,099.68, 498,313.80 and 199,961.52 is: 275,944.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,099.68 : 498,313.80 = 199,961.52 : x
  2. Step 2: Convert to fraction form
    361,099.68/498,313.80 = 199,961.52/x
  3. Step 3: Cross multiply
    361,099.68x = 498,313.80 × 199,961.52
  4. Step 4: Simplify right side
    361,099.68x = 99,643,584,884.98
  5. Step 5: Solve for x
    x = 99,643,584,884.98/361,099.68
  6. Step 6: Final answer
    x = 275,944.82

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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.