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Finding the Fourth Proportional to 522,023.70, 782,452.35 and 222,453.30

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Solution

The fourth proportional to 522,023.70, 782,452.35 and 222,453.30 is: 333,431.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,023.70 : 782,452.35 = 222,453.30 : x
  2. Step 2: Convert to fraction form
    522,023.70/782,452.35 = 222,453.30/x
  3. Step 3: Cross multiply
    522,023.70x = 782,452.35 × 222,453.30
  4. Step 4: Simplify right side
    522,023.70x = 174,059,107,350.26
  5. Step 5: Solve for x
    x = 174,059,107,350.26/522,023.70
  6. Step 6: Final answer
    x = 333,431.43

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1.5x scale

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.