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Finding the Fourth Proportional to 522,077.20, 782,824.20 and 222,506.80

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Solution

The fourth proportional to 522,077.20, 782,824.20 and 222,506.80 is: 333,635.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,077.20 : 782,824.20 = 222,506.80 : x
  2. Step 2: Convert to fraction form
    522,077.20/782,824.20 = 222,506.80/x
  3. Step 3: Cross multiply
    522,077.20x = 782,824.20 × 222,506.80
  4. Step 4: Simplify right side
    522,077.20x = 174,183,707,704.56
  5. Step 5: Solve for x
    x = 174,183,707,704.56/522,077.20
  6. Step 6: Final answer
    x = 333,635.92

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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.