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Finding the Fourth Proportional to 441,763.20, 662,644.80 and 205,027.20

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Solution

The fourth proportional to 441,763.20, 662,644.80 and 205,027.20 is: 307,540.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,763.20 : 662,644.80 = 205,027.20 : x
  2. Step 2: Convert to fraction form
    441,763.20/662,644.80 = 205,027.20/x
  3. Step 3: Cross multiply
    441,763.20x = 662,644.80 × 205,027.20
  4. Step 4: Simplify right side
    441,763.20x = 135,860,207,938.56
  5. Step 5: Solve for x
    x = 135,860,207,938.56/441,763.20
  6. Step 6: Final answer
    x = 307,540.80

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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.