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Finding the Fourth Proportional to 392,067.50, 540,853.64 and 256,180.88

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Solution

The fourth proportional to 392,067.50, 540,853.64 and 256,180.88 is: 353,399.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,067.50 : 540,853.64 = 256,180.88 : x
  2. Step 2: Convert to fraction form
    392,067.50/540,853.64 = 256,180.88/x
  3. Step 3: Cross multiply
    392,067.50x = 540,853.64 × 256,180.88
  4. Step 4: Simplify right side
    392,067.50x = 138,556,361,446.40
  5. Step 5: Solve for x
    x = 138,556,361,446.40/392,067.50
  6. Step 6: Final answer
    x = 353,399.25

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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.