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Finding the Fourth Proportional to 274,024.95, 411,245.60 and 220,846.83

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Solution

The fourth proportional to 274,024.95, 411,245.60 and 220,846.83 is: 331,438.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,024.95 : 411,245.60 = 220,846.83 : x
  2. Step 2: Convert to fraction form
    274,024.95/411,245.60 = 220,846.83/x
  3. Step 3: Cross multiply
    274,024.95x = 411,245.60 × 220,846.83
  4. Step 4: Simplify right side
    274,024.95x = 90,822,286,007.21
  5. Step 5: Solve for x
    x = 90,822,286,007.21/274,024.95
  6. Step 6: Final answer
    x = 331,438.02

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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.