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Finding the Fourth Proportional to 324,100.89, 447,231.11 and 209,384.73

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Solution

The fourth proportional to 324,100.89, 447,231.11 and 209,384.73 is: 288,932.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,100.89 : 447,231.11 = 209,384.73 : x
  2. Step 2: Convert to fraction form
    324,100.89/447,231.11 = 209,384.73/x
  3. Step 3: Cross multiply
    324,100.89x = 447,231.11 × 209,384.73
  4. Step 4: Simplify right side
    324,100.89x = 93,643,364,168.03
  5. Step 5: Solve for x
    x = 93,643,364,168.03/324,100.89
  6. Step 6: Final answer
    x = 288,932.76

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