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Finding the Fourth Proportional to 322,846.20, 484,269.30 and 204,132.60

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Solution

The fourth proportional to 322,846.20, 484,269.30 and 204,132.60 is: 306,198.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,846.20 : 484,269.30 = 204,132.60 : x
  2. Step 2: Convert to fraction form
    322,846.20/484,269.30 = 204,132.60/x
  3. Step 3: Cross multiply
    322,846.20x = 484,269.30 × 204,132.60
  4. Step 4: Simplify right side
    322,846.20x = 98,855,151,309.18
  5. Step 5: Solve for x
    x = 98,855,151,309.18/322,846.20
  6. Step 6: Final answer
    x = 306,198.90

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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.