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Finding the Fourth Proportional to 324,704.40, 447,801.92 and 203,856.95

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Solution

The fourth proportional to 324,704.40, 447,801.92 and 203,856.95 is: 281,140.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,704.40 : 447,801.92 = 203,856.95 : x
  2. Step 2: Convert to fraction form
    324,704.40/447,801.92 = 203,856.95/x
  3. Step 3: Cross multiply
    324,704.40x = 447,801.92 × 203,856.95
  4. Step 4: Simplify right side
    324,704.40x = 91,287,534,480.03
  5. Step 5: Solve for x
    x = 91,287,534,480.03/324,704.40
  6. Step 6: Final answer
    x = 281,140.43

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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.