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Finding the Fourth Proportional to 305,229.38, 421,238.14 and 169,276.35

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Solution

The fourth proportional to 305,229.38, 421,238.14 and 169,276.35 is: 233,613.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,229.38 : 421,238.14 = 169,276.35 : x
  2. Step 2: Convert to fraction form
    305,229.38/421,238.14 = 169,276.35/x
  3. Step 3: Cross multiply
    305,229.38x = 421,238.14 × 169,276.35
  4. Step 4: Simplify right side
    305,229.38x = 71,305,654,819.99
  5. Step 5: Solve for x
    x = 71,305,654,819.99/305,229.38
  6. Step 6: Final answer
    x = 233,613.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.