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Finding the Fourth Proportional to 522,107.26, 782,777.85 and 166,916.86

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Solution

The fourth proportional to 522,107.26, 782,777.85 and 166,916.86 is: 250,252.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,107.26 : 782,777.85 = 166,916.86 : x
  2. Step 2: Convert to fraction form
    522,107.26/782,777.85 = 166,916.86/x
  3. Step 3: Cross multiply
    522,107.26x = 782,777.85 × 166,916.86
  4. Step 4: Simplify right side
    522,107.26x = 130,658,820,799.55
  5. Step 5: Solve for x
    x = 130,658,820,799.55/522,107.26
  6. Step 6: Final answer
    x = 250,252.83

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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.