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Finding the Fourth Proportional to 433,163.87, 649,856.52 and 166,852.88

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Solution

The fourth proportional to 433,163.87, 649,856.52 and 166,852.88 is: 250,321.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,163.87 : 649,856.52 = 166,852.88 : x
  2. Step 2: Convert to fraction form
    433,163.87/649,856.52 = 166,852.88/x
  3. Step 3: Cross multiply
    433,163.87x = 649,856.52 × 166,852.88
  4. Step 4: Simplify right side
    433,163.87x = 108,430,431,136.46
  5. Step 5: Solve for x
    x = 108,430,431,136.46/433,163.87
  6. Step 6: Final answer
    x = 250,321.97

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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.