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Finding the Fourth Proportional to 431,638.22, 647,583.69 and 221,422.70

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Solution

The fourth proportional to 431,638.22, 647,583.69 and 221,422.70 is: 332,198.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,638.22 : 647,583.69 = 221,422.70 : x
  2. Step 2: Convert to fraction form
    431,638.22/647,583.69 = 221,422.70/x
  3. Step 3: Cross multiply
    431,638.22x = 647,583.69 × 221,422.70
  4. Step 4: Simplify right side
    431,638.22x = 143,389,729,115.76
  5. Step 5: Solve for x
    x = 143,389,729,115.76/431,638.22
  6. Step 6: Final answer
    x = 332,198.87

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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.