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Finding the Fourth Proportional to 407,169.38, 561,895.18 and 225,884.90

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Solution

The fourth proportional to 407,169.38, 561,895.18 and 225,884.90 is: 311,721.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,169.38 : 561,895.18 = 225,884.90 : x
  2. Step 2: Convert to fraction form
    407,169.38/561,895.18 = 225,884.90/x
  3. Step 3: Cross multiply
    407,169.38x = 561,895.18 × 225,884.90
  4. Step 4: Simplify right side
    407,169.38x = 126,923,636,544.78
  5. Step 5: Solve for x
    x = 126,923,636,544.78/407,169.38
  6. Step 6: Final answer
    x = 311,721.96

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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.