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Finding the Fourth Proportional to 431,927.20, 647,599.20 and 229,556.80

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Solution

The fourth proportional to 431,927.20, 647,599.20 and 229,556.80 is: 344,180.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,927.20 : 647,599.20 = 229,556.80 : x
  2. Step 2: Convert to fraction form
    431,927.20/647,599.20 = 229,556.80/x
  3. Step 3: Cross multiply
    431,927.20x = 647,599.20 × 229,556.80
  4. Step 4: Simplify right side
    431,927.20x = 148,660,800,034.56
  5. Step 5: Solve for x
    x = 148,660,800,034.56/431,927.20
  6. Step 6: Final answer
    x = 344,180.22

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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.