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Finding the Fourth Proportional to 310,546.20, 465,819.30 and 216,067.80

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Solution

The fourth proportional to 310,546.20, 465,819.30 and 216,067.80 is: 324,101.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,546.20 : 465,819.30 = 216,067.80 : x
  2. Step 2: Convert to fraction form
    310,546.20/465,819.30 = 216,067.80/x
  3. Step 3: Cross multiply
    310,546.20x = 465,819.30 × 216,067.80
  4. Step 4: Simplify right side
    310,546.20x = 100,648,551,348.54
  5. Step 5: Solve for x
    x = 100,648,551,348.54/310,546.20
  6. Step 6: Final answer
    x = 324,101.70

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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.