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Finding the Fourth Proportional to 446,589, 669,882.47 and 193,836.73

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Solution

The fourth proportional to 446,589, 669,882.47 and 193,836.73 is: 290,754.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,589 : 669,882.47 = 193,836.73 : x
  2. Step 2: Convert to fraction form
    446,589/669,882.47 = 193,836.73/x
  3. Step 3: Cross multiply
    446,589x = 669,882.47 × 193,836.73
  4. Step 4: Simplify right side
    446,589x = 129,847,826,279.01
  5. Step 5: Solve for x
    x = 129,847,826,279.01/446,589
  6. Step 6: Final answer
    x = 290,754.65

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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.