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Finding the Fourth Proportional to 322,734.70, 483,659.17 and 204,193.83

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Solution

The fourth proportional to 322,734.70, 483,659.17 and 204,193.83 is: 306,010.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,734.70 : 483,659.17 = 204,193.83 : x
  2. Step 2: Convert to fraction form
    322,734.70/483,659.17 = 204,193.83/x
  3. Step 3: Cross multiply
    322,734.70x = 483,659.17 × 204,193.83
  4. Step 4: Simplify right side
    322,734.70x = 98,760,218,336.92
  5. Step 5: Solve for x
    x = 98,760,218,336.92/322,734.70
  6. Step 6: Final answer
    x = 306,010.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.