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Finding the Fourth Proportional to 617,022.80, 925,096.80 and 280,224.80

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Solution

The fourth proportional to 617,022.80, 925,096.80 and 280,224.80 is: 420,138.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,022.80 : 925,096.80 = 280,224.80 : x
  2. Step 2: Convert to fraction form
    617,022.80/925,096.80 = 280,224.80/x
  3. Step 3: Cross multiply
    617,022.80x = 925,096.80 × 280,224.80
  4. Step 4: Simplify right side
    617,022.80x = 259,235,065,760.64
  5. Step 5: Solve for x
    x = 259,235,065,760.64/617,022.80
  6. Step 6: Final answer
    x = 420,138.55

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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.