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Finding the Fourth Proportional to 512,832.80, 768,212.40 and 344,871.20

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Solution

The fourth proportional to 512,832.80, 768,212.40 and 344,871.20 is: 516,609.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,832.80 : 768,212.40 = 344,871.20 : x
  2. Step 2: Convert to fraction form
    512,832.80/768,212.40 = 344,871.20/x
  3. Step 3: Cross multiply
    512,832.80x = 768,212.40 × 344,871.20
  4. Step 4: Simplify right side
    512,832.80x = 264,934,332,242.88
  5. Step 5: Solve for x
    x = 264,934,332,242.88/512,832.80
  6. Step 6: Final answer
    x = 516,609.57

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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.