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Finding the Fourth Proportional to 255,892.80, 383,839.20 and 224,788.80

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Solution

The fourth proportional to 255,892.80, 383,839.20 and 224,788.80 is: 337,183.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,892.80 : 383,839.20 = 224,788.80 : x
  2. Step 2: Convert to fraction form
    255,892.80/383,839.20 = 224,788.80/x
  3. Step 3: Cross multiply
    255,892.80x = 383,839.20 × 224,788.80
  4. Step 4: Simplify right side
    255,892.80x = 86,282,753,160.96
  5. Step 5: Solve for x
    x = 86,282,753,160.96/255,892.80
  6. Step 6: Final answer
    x = 337,183.20

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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.