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Finding the Fourth Proportional to 295,819.20, 443,469.60 and 177,364.80

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Solution

The fourth proportional to 295,819.20, 443,469.60 and 177,364.80 is: 265,891.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,819.20 : 443,469.60 = 177,364.80 : x
  2. Step 2: Convert to fraction form
    295,819.20/443,469.60 = 177,364.80/x
  3. Step 3: Cross multiply
    295,819.20x = 443,469.60 × 177,364.80
  4. Step 4: Simplify right side
    295,819.20x = 78,655,896,910.08
  5. Step 5: Solve for x
    x = 78,655,896,910.08/295,819.20
  6. Step 6: Final answer
    x = 265,891.79

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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.