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Finding the Fourth Proportional to 431,405.80, 647,108.70 and 221,453.80

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Solution

The fourth proportional to 431,405.80, 647,108.70 and 221,453.80 is: 332,180.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,405.80 : 647,108.70 = 221,453.80 : x
  2. Step 2: Convert to fraction form
    431,405.80/647,108.70 = 221,453.80/x
  3. Step 3: Cross multiply
    431,405.80x = 647,108.70 × 221,453.80
  4. Step 4: Simplify right side
    431,405.80x = 143,304,680,628.06
  5. Step 5: Solve for x
    x = 143,304,680,628.06/431,405.80
  6. Step 6: Final answer
    x = 332,180.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.