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Finding the Fourth Proportional to 300,441.25, 414,608.93 and 166,305.25

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Solution

The fourth proportional to 300,441.25, 414,608.93 and 166,305.25 is: 229,501.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,441.25 : 414,608.93 = 166,305.25 : x
  2. Step 2: Convert to fraction form
    300,441.25/414,608.93 = 166,305.25/x
  3. Step 3: Cross multiply
    300,441.25x = 414,608.93 × 166,305.25
  4. Step 4: Simplify right side
    300,441.25x = 68,951,641,755.88
  5. Step 5: Solve for x
    x = 68,951,641,755.88/300,441.25
  6. Step 6: Final answer
    x = 229,501.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.