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Finding the Fourth Proportional to 270,584.32, 405,879.22 and 120,832.24

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Solution

The fourth proportional to 270,584.32, 405,879.22 and 120,832.24 is: 181,249.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,584.32 : 405,879.22 = 120,832.24 : x
  2. Step 2: Convert to fraction form
    270,584.32/405,879.22 = 120,832.24/x
  3. Step 3: Cross multiply
    270,584.32x = 405,879.22 × 120,832.24
  4. Step 4: Simplify right side
    270,584.32x = 49,043,295,322.05
  5. Step 5: Solve for x
    x = 49,043,295,322.05/270,584.32
  6. Step 6: Final answer
    x = 181,249.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.