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Finding the Fourth Proportional to 273,212.80, 409,819.20 and 229,910.20

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Solution

The fourth proportional to 273,212.80, 409,819.20 and 229,910.20 is: 344,865.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,212.80 : 409,819.20 = 229,910.20 : x
  2. Step 2: Convert to fraction form
    273,212.80/409,819.20 = 229,910.20/x
  3. Step 3: Cross multiply
    273,212.80x = 409,819.20 × 229,910.20
  4. Step 4: Simplify right side
    273,212.80x = 94,221,614,235.84
  5. Step 5: Solve for x
    x = 94,221,614,235.84/273,212.80
  6. Step 6: Final answer
    x = 344,865.30

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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.