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Finding the Fourth Proportional to 321,902.92, 482,308.62 and 196,982.92

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Solution

The fourth proportional to 321,902.92, 482,308.62 and 196,982.92 is: 295,140.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,902.92 : 482,308.62 = 196,982.92 : x
  2. Step 2: Convert to fraction form
    321,902.92/482,308.62 = 196,982.92/x
  3. Step 3: Cross multiply
    321,902.92x = 482,308.62 × 196,982.92
  4. Step 4: Simplify right side
    321,902.92x = 95,006,560,308.77
  5. Step 5: Solve for x
    x = 95,006,560,308.77/321,902.92
  6. Step 6: Final answer
    x = 295,140.41

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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.