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Finding the Fourth Proportional to 275,610.40, 412,978.20 and 182,006.80

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Solution

The fourth proportional to 275,610.40, 412,978.20 and 182,006.80 is: 272,721.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,610.40 : 412,978.20 = 182,006.80 : x
  2. Step 2: Convert to fraction form
    275,610.40/412,978.20 = 182,006.80/x
  3. Step 3: Cross multiply
    275,610.40x = 412,978.20 × 182,006.80
  4. Step 4: Simplify right side
    275,610.40x = 75,164,840,651.76
  5. Step 5: Solve for x
    x = 75,164,840,651.76/275,610.40
  6. Step 6: Final answer
    x = 272,721.35

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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.