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Finding the Fourth Proportional to 275,401, 412,713.83 and 218,990.76

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Solution

The fourth proportional to 275,401, 412,713.83 and 218,990.76 is: 328,177.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,401 : 412,713.83 = 218,990.76 : x
  2. Step 2: Convert to fraction form
    275,401/412,713.83 = 218,990.76/x
  3. Step 3: Cross multiply
    275,401x = 412,713.83 × 218,990.76
  4. Step 4: Simplify right side
    275,401x = 90,380,515,294.21
  5. Step 5: Solve for x
    x = 90,380,515,294.21/275,401
  6. Step 6: Final answer
    x = 328,177.88

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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.