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Finding the Fourth Proportional to 404,609.50, 558,361.11 and 225,761.50

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Solution

The fourth proportional to 404,609.50, 558,361.11 and 225,761.50 is: 311,550.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,609.50 : 558,361.11 = 225,761.50 : x
  2. Step 2: Convert to fraction form
    404,609.50/558,361.11 = 225,761.50/x
  3. Step 3: Cross multiply
    404,609.50x = 558,361.11 × 225,761.50
  4. Step 4: Simplify right side
    404,609.50x = 126,056,441,735.27
  5. Step 5: Solve for x
    x = 126,056,441,735.27/404,609.50
  6. Step 6: Final answer
    x = 311,550.87

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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.