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Finding the Fourth Proportional to 324,667.30, 447,750.77 and 203,819.82

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Solution

The fourth proportional to 324,667.30, 447,750.77 and 203,819.82 is: 281,089.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,667.30 : 447,750.77 = 203,819.82 : x
  2. Step 2: Convert to fraction form
    324,667.30/447,750.77 = 203,819.82/x
  3. Step 3: Cross multiply
    324,667.30x = 447,750.77 × 203,819.82
  4. Step 4: Simplify right side
    324,667.30x = 91,260,481,346.26
  5. Step 5: Solve for x
    x = 91,260,481,346.26/324,667.30
  6. Step 6: Final answer
    x = 281,089.23

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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.