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Finding the Fourth Proportional to 400,249.06, 599,584.64 and 325,453.66

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Solution

The fourth proportional to 400,249.06, 599,584.64 and 325,453.66 is: 487,538.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,249.06 : 599,584.64 = 325,453.66 : x
  2. Step 2: Convert to fraction form
    400,249.06/599,584.64 = 325,453.66/x
  3. Step 3: Cross multiply
    400,249.06x = 599,584.64 × 325,453.66
  4. Step 4: Simplify right side
    400,249.06x = 195,137,015,567.78
  5. Step 5: Solve for x
    x = 195,137,015,567.78/400,249.06
  6. Step 6: Final answer
    x = 487,538.97

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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.