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Finding the Fourth Proportional to 522,350.52, 782,475.99 and 272,507.64

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Solution

The fourth proportional to 522,350.52, 782,475.99 and 272,507.64 is: 408,213.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,350.52 : 782,475.99 = 272,507.64 : x
  2. Step 2: Convert to fraction form
    522,350.52/782,475.99 = 272,507.64/x
  3. Step 3: Cross multiply
    522,350.52x = 782,475.99 × 272,507.64
  4. Step 4: Simplify right side
    522,350.52x = 213,230,685,391.56
  5. Step 5: Solve for x
    x = 213,230,685,391.56/522,350.52
  6. Step 6: Final answer
    x = 408,213.79

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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.