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Finding the Fourth Proportional to 271,906.20, 407,859.30 and 196,867.80

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Solution

The fourth proportional to 271,906.20, 407,859.30 and 196,867.80 is: 295,301.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,906.20 : 407,859.30 = 196,867.80 : x
  2. Step 2: Convert to fraction form
    271,906.20/407,859.30 = 196,867.80/x
  3. Step 3: Cross multiply
    271,906.20x = 407,859.30 × 196,867.80
  4. Step 4: Simplify right side
    271,906.20x = 80,294,363,100.54
  5. Step 5: Solve for x
    x = 80,294,363,100.54/271,906.20
  6. Step 6: Final answer
    x = 295,301.70

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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.