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Finding the Fourth Proportional to 512,142.40, 768,213.60 and 179,675.20

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Solution

The fourth proportional to 512,142.40, 768,213.60 and 179,675.20 is: 269,512.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,142.40 : 768,213.60 = 179,675.20 : x
  2. Step 2: Convert to fraction form
    512,142.40/768,213.60 = 179,675.20/x
  3. Step 3: Cross multiply
    512,142.40x = 768,213.60 × 179,675.20
  4. Step 4: Simplify right side
    512,142.40x = 138,028,932,222.72
  5. Step 5: Solve for x
    x = 138,028,932,222.72/512,142.40
  6. Step 6: Final answer
    x = 269,512.80

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1.5x scale

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.