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Finding the Fourth Proportional to 405,879.98, 608,824.08 and 181,251.86

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Solution

The fourth proportional to 405,879.98, 608,824.08 and 181,251.86 is: 271,879.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,879.98 : 608,824.08 = 181,251.86 : x
  2. Step 2: Convert to fraction form
    405,879.98/608,824.08 = 181,251.86/x
  3. Step 3: Cross multiply
    405,879.98x = 608,824.08 × 181,251.86
  4. Step 4: Simplify right side
    405,879.98x = 110,350,496,912.79
  5. Step 5: Solve for x
    x = 110,350,496,912.79/405,879.98
  6. Step 6: Final answer
    x = 271,879.63

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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.