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Finding the Fourth Proportional to 311,927.80, 467,454.30 and 274,311.40

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Solution

The fourth proportional to 311,927.80, 467,454.30 and 274,311.40 is: 411,082.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,927.80 : 467,454.30 = 274,311.40 : x
  2. Step 2: Convert to fraction form
    311,927.80/467,454.30 = 274,311.40/x
  3. Step 3: Cross multiply
    311,927.80x = 467,454.30 × 274,311.40
  4. Step 4: Simplify right side
    311,927.80x = 128,228,043,469.02
  5. Step 5: Solve for x
    x = 128,228,043,469.02/311,927.80
  6. Step 6: Final answer
    x = 411,082.45

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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.