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Finding the Fourth Proportional to 404,488.50, 558,194.13 and 225,640.50

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Solution

The fourth proportional to 404,488.50, 558,194.13 and 225,640.50 is: 311,383.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,488.50 : 558,194.13 = 225,640.50 : x
  2. Step 2: Convert to fraction form
    404,488.50/558,194.13 = 225,640.50/x
  3. Step 3: Cross multiply
    404,488.50x = 558,194.13 × 225,640.50
  4. Step 4: Simplify right side
    404,488.50x = 125,951,202,590.27
  5. Step 5: Solve for x
    x = 125,951,202,590.27/404,488.50
  6. Step 6: Final answer
    x = 311,383.89

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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.