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Finding the Fourth Proportional to 392,144.75, 541,160.24 and 213,296.75

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Solution

The fourth proportional to 392,144.75, 541,160.24 and 213,296.75 is: 294,349.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,144.75 : 541,160.24 = 213,296.75 : x
  2. Step 2: Convert to fraction form
    392,144.75/541,160.24 = 213,296.75/x
  3. Step 3: Cross multiply
    392,144.75x = 541,160.24 × 213,296.75
  4. Step 4: Simplify right side
    392,144.75x = 115,427,720,421.22
  5. Step 5: Solve for x
    x = 115,427,720,421.22/392,144.75
  6. Step 6: Final answer
    x = 294,349.78

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1.5x scale

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.