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Finding the Fourth Proportional to 512,195.20, 768,004.80 and 196,662.40

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Solution

The fourth proportional to 512,195.20, 768,004.80 and 196,662.40 is: 294,883.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,195.20 : 768,004.80 = 196,662.40 : x
  2. Step 2: Convert to fraction form
    512,195.20/768,004.80 = 196,662.40/x
  3. Step 3: Cross multiply
    512,195.20x = 768,004.80 × 196,662.40
  4. Step 4: Simplify right side
    512,195.20x = 151,037,667,179.52
  5. Step 5: Solve for x
    x = 151,037,667,179.52/512,195.20
  6. Step 6: Final answer
    x = 294,883.02

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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.