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Finding the Fourth Proportional to 512,785.72, 769,251.48 and 157,829.32

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Solution

The fourth proportional to 512,785.72, 769,251.48 and 157,829.32 is: 236,766.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,785.72 : 769,251.48 = 157,829.32 : x
  2. Step 2: Convert to fraction form
    512,785.72/769,251.48 = 157,829.32/x
  3. Step 3: Cross multiply
    512,785.72x = 769,251.48 × 157,829.32
  4. Step 4: Simplify right side
    512,785.72x = 121,410,437,997.39
  5. Step 5: Solve for x
    x = 121,410,437,997.39/512,785.72
  6. Step 6: Final answer
    x = 236,766.42

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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.