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Finding the Fourth Proportional to 397,422.64, 548,165.64 and 269,876.80

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Solution

The fourth proportional to 397,422.64, 548,165.64 and 269,876.80 is: 372,241.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,422.64 : 548,165.64 = 269,876.80 : x
  2. Step 2: Convert to fraction form
    397,422.64/548,165.64 = 269,876.80/x
  3. Step 3: Cross multiply
    397,422.64x = 548,165.64 × 269,876.80
  4. Step 4: Simplify right side
    397,422.64x = 147,937,188,793.15
  5. Step 5: Solve for x
    x = 147,937,188,793.15/397,422.64
  6. Step 6: Final answer
    x = 372,241.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.