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Finding the Fourth Proportional to 322,734.39, 483,658.71 and 204,193.52

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Solution

The fourth proportional to 322,734.39, 483,658.71 and 204,193.52 is: 306,010.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,734.39 : 483,658.71 = 204,193.52 : x
  2. Step 2: Convert to fraction form
    322,734.39/483,658.71 = 204,193.52/x
  3. Step 3: Cross multiply
    322,734.39x = 483,658.71 × 204,193.52
  4. Step 4: Simplify right side
    322,734.39x = 98,759,974,473.56
  5. Step 5: Solve for x
    x = 98,759,974,473.56/322,734.39
  6. Step 6: Final answer
    x = 306,010.08

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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.