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Finding the Fourth Proportional to 433,245.56, 649,879.50 and 205,487.96

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Solution

The fourth proportional to 433,245.56, 649,879.50 and 205,487.96 is: 308,237.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,245.56 : 649,879.50 = 205,487.96 : x
  2. Step 2: Convert to fraction form
    433,245.56/649,879.50 = 205,487.96/x
  3. Step 3: Cross multiply
    433,245.56x = 649,879.50 × 205,487.96
  4. Step 4: Simplify right side
    433,245.56x = 133,542,412,700.82
  5. Step 5: Solve for x
    x = 133,542,412,700.82/433,245.56
  6. Step 6: Final answer
    x = 308,237.23

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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.