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Finding the Fourth Proportional to 407,234.43, 561,982.86 and 225,973.98

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Solution

The fourth proportional to 407,234.43, 561,982.86 and 225,973.98 is: 311,843.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,234.43 : 561,982.86 = 225,973.98 : x
  2. Step 2: Convert to fraction form
    407,234.43/561,982.86 = 225,973.98/x
  3. Step 3: Cross multiply
    407,234.43x = 561,982.86 × 225,973.98
  4. Step 4: Simplify right side
    407,234.43x = 126,993,503,565.98
  5. Step 5: Solve for x
    x = 126,993,503,565.98/407,234.43
  6. Step 6: Final answer
    x = 311,843.73

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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.