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Finding the Fourth Proportional to 275,320.80, 412,981.20 and 264,823.20

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Solution

The fourth proportional to 275,320.80, 412,981.20 and 264,823.20 is: 397,234.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,320.80 : 412,981.20 = 264,823.20 : x
  2. Step 2: Convert to fraction form
    275,320.80/412,981.20 = 264,823.20/x
  3. Step 3: Cross multiply
    275,320.80x = 412,981.20 × 264,823.20
  4. Step 4: Simplify right side
    275,320.80x = 109,367,002,923.84
  5. Step 5: Solve for x
    x = 109,367,002,923.84/275,320.80
  6. Step 6: Final answer
    x = 397,234.80

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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.