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Finding the Fourth Proportional to 322,022.80, 482,842.20 and 197,453.20

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Solution

The fourth proportional to 322,022.80, 482,842.20 and 197,453.20 is: 296,062.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,022.80 : 482,842.20 = 197,453.20 : x
  2. Step 2: Convert to fraction form
    322,022.80/482,842.20 = 197,453.20/x
  3. Step 3: Cross multiply
    322,022.80x = 482,842.20 × 197,453.20
  4. Step 4: Simplify right side
    322,022.80x = 95,338,737,485.04
  5. Step 5: Solve for x
    x = 95,338,737,485.04/322,022.80
  6. Step 6: Final answer
    x = 296,062.07

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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.