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Finding the Fourth Proportional to 408,072.20, 612,108.30 and 275,361.80

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Solution

The fourth proportional to 408,072.20, 612,108.30 and 275,361.80 is: 413,042.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,072.20 : 612,108.30 = 275,361.80 : x
  2. Step 2: Convert to fraction form
    408,072.20/612,108.30 = 275,361.80/x
  3. Step 3: Cross multiply
    408,072.20x = 612,108.30 × 275,361.80
  4. Step 4: Simplify right side
    408,072.20x = 168,551,243,282.94
  5. Step 5: Solve for x
    x = 168,551,243,282.94/408,072.20
  6. Step 6: Final answer
    x = 413,042.70

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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.