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Finding the Fourth Proportional to 522,358.83, 782,799.24 and 222,537.54

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Solution

The fourth proportional to 522,358.83, 782,799.24 and 222,537.54 is: 333,491.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,358.83 : 782,799.24 = 222,537.54 : x
  2. Step 2: Convert to fraction form
    522,358.83/782,799.24 = 222,537.54/x
  3. Step 3: Cross multiply
    522,358.83x = 782,799.24 × 222,537.54
  4. Step 4: Simplify right side
    522,358.83x = 174,202,217,183.47
  5. Step 5: Solve for x
    x = 174,202,217,183.47/522,358.83
  6. Step 6: Final answer
    x = 333,491.48

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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.