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Finding the Fourth Proportional to 362,105.24, 499,701.56 and 200,961.61

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Solution

The fourth proportional to 362,105.24, 499,701.56 and 200,961.61 is: 277,324.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,105.24 : 499,701.56 = 200,961.61 : x
  2. Step 2: Convert to fraction form
    362,105.24/499,701.56 = 200,961.61/x
  3. Step 3: Cross multiply
    362,105.24x = 499,701.56 × 200,961.61
  4. Step 4: Simplify right side
    362,105.24x = 100,420,827,763.05
  5. Step 5: Solve for x
    x = 100,420,827,763.05/362,105.24
  6. Step 6: Final answer
    x = 277,324.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.