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Finding the Fourth Proportional to 522,076.20, 782,822.70 and 222,505.80

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Solution

The fourth proportional to 522,076.20, 782,822.70 and 222,505.80 is: 333,634.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,076.20 : 782,822.70 = 222,505.80 : x
  2. Step 2: Convert to fraction form
    522,076.20/782,822.70 = 222,505.80/x
  3. Step 3: Cross multiply
    522,076.20x = 782,822.70 × 222,505.80
  4. Step 4: Simplify right side
    522,076.20x = 174,182,591,121.66
  5. Step 5: Solve for x
    x = 174,182,591,121.66/522,076.20
  6. Step 6: Final answer
    x = 333,634.42

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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.