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Finding the Fourth Proportional to 512,747.12, 769,247.56 and 213,137.84

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Solution

The fourth proportional to 512,747.12, 769,247.56 and 213,137.84 is: 319,759.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,747.12 : 769,247.56 = 213,137.84 : x
  2. Step 2: Convert to fraction form
    512,747.12/769,247.56 = 213,137.84/x
  3. Step 3: Cross multiply
    512,747.12x = 769,247.56 × 213,137.84
  4. Step 4: Simplify right side
    512,747.12x = 163,955,763,363.67
  5. Step 5: Solve for x
    x = 163,955,763,363.67/512,747.12
  6. Step 6: Final answer
    x = 319,759.50

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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.