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Finding the Fourth Proportional to 324,749.20, 487,123.80 and 206,942.80

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Solution

The fourth proportional to 324,749.20, 487,123.80 and 206,942.80 is: 310,414.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,749.20 : 487,123.80 = 206,942.80 : x
  2. Step 2: Convert to fraction form
    324,749.20/487,123.80 = 206,942.80/x
  3. Step 3: Cross multiply
    324,749.20x = 487,123.80 × 206,942.80
  4. Step 4: Simplify right side
    324,749.20x = 100,806,763,118.64
  5. Step 5: Solve for x
    x = 100,806,763,118.64/324,749.20
  6. Step 6: Final answer
    x = 310,414.20

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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.