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Finding the Fourth Proportional to 295,212.80, 442,819.20 and 278,883.20

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Solution

The fourth proportional to 295,212.80, 442,819.20 and 278,883.20 is: 418,324.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,212.80 : 442,819.20 = 278,883.20 : x
  2. Step 2: Convert to fraction form
    295,212.80/442,819.20 = 278,883.20/x
  3. Step 3: Cross multiply
    295,212.80x = 442,819.20 × 278,883.20
  4. Step 4: Simplify right side
    295,212.80x = 123,494,835,517.44
  5. Step 5: Solve for x
    x = 123,494,835,517.44/295,212.80
  6. Step 6: Final answer
    x = 418,324.80

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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.