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Finding the Fourth Proportional to 512,204.72, 706,882.56 and 285,884.24

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Solution

The fourth proportional to 512,204.72, 706,882.56 and 285,884.24 is: 394,542.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,204.72 : 706,882.56 = 285,884.24 : x
  2. Step 2: Convert to fraction form
    512,204.72/706,882.56 = 285,884.24/x
  3. Step 3: Cross multiply
    512,204.72x = 706,882.56 × 285,884.24
  4. Step 4: Simplify right side
    512,204.72x = 202,086,583,434.85
  5. Step 5: Solve for x
    x = 202,086,583,434.85/512,204.72
  6. Step 6: Final answer
    x = 394,542.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.