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Finding the Fourth Proportional to 300,589.26, 414,813.06 and 166,453.26

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Solution

The fourth proportional to 300,589.26, 414,813.06 and 166,453.26 is: 229,705.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,589.26 : 414,813.06 = 166,453.26 : x
  2. Step 2: Convert to fraction form
    300,589.26/414,813.06 = 166,453.26/x
  3. Step 3: Cross multiply
    300,589.26x = 414,813.06 × 166,453.26
  4. Step 4: Simplify right side
    300,589.26x = 69,046,986,127.58
  5. Step 5: Solve for x
    x = 69,046,986,127.58/300,589.26
  6. Step 6: Final answer
    x = 229,705.43

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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.