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Finding the Fourth Proportional to 321,906.10, 482,859.15 and 202,155.70

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Solution

The fourth proportional to 321,906.10, 482,859.15 and 202,155.70 is: 303,233.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,906.10 : 482,859.15 = 202,155.70 : x
  2. Step 2: Convert to fraction form
    321,906.10/482,859.15 = 202,155.70/x
  3. Step 3: Cross multiply
    321,906.10x = 482,859.15 × 202,155.70
  4. Step 4: Simplify right side
    321,906.10x = 97,612,729,469.66
  5. Step 5: Solve for x
    x = 97,612,729,469.66/321,906.10
  6. Step 6: Final answer
    x = 303,233.55

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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.