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Finding the Fourth Proportional to 512,191.20, 768,286.80 and 216,664.80

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Solution

The fourth proportional to 512,191.20, 768,286.80 and 216,664.80 is: 324,997.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,191.20 : 768,286.80 = 216,664.80 : x
  2. Step 2: Convert to fraction form
    512,191.20/768,286.80 = 216,664.80/x
  3. Step 3: Cross multiply
    512,191.20x = 768,286.80 × 216,664.80
  4. Step 4: Simplify right side
    512,191.20x = 166,460,705,864.64
  5. Step 5: Solve for x
    x = 166,460,705,864.64/512,191.20
  6. Step 6: Final answer
    x = 324,997.20

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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.