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Finding the Fourth Proportional to 512,171.20, 768,231.20 and 262,878.40

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Solution

The fourth proportional to 512,171.20, 768,231.20 and 262,878.40 is: 394,304.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,171.20 : 768,231.20 = 262,878.40 : x
  2. Step 2: Convert to fraction form
    512,171.20/768,231.20 = 262,878.40/x
  3. Step 3: Cross multiply
    512,171.20x = 768,231.20 × 262,878.40
  4. Step 4: Simplify right side
    512,171.20x = 201,951,388,686.08
  5. Step 5: Solve for x
    x = 201,951,388,686.08/512,171.20
  6. Step 6: Final answer
    x = 394,304.46

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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.