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Finding the Fourth Proportional to 398,563.20, 598,766.40 and 274,147.20

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Solution

The fourth proportional to 398,563.20, 598,766.40 and 274,147.20 is: 411,854.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,563.20 : 598,766.40 = 274,147.20 : x
  2. Step 2: Convert to fraction form
    398,563.20/598,766.40 = 274,147.20/x
  3. Step 3: Cross multiply
    398,563.20x = 598,766.40 × 274,147.20
  4. Step 4: Simplify right side
    398,563.20x = 164,150,132,014.08
  5. Step 5: Solve for x
    x = 164,150,132,014.08/398,563.20
  6. Step 6: Final answer
    x = 411,854.71

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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.