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Finding the Fourth Proportional to 414,611.88, 622,049.31 and 148,366.50

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Solution

The fourth proportional to 414,611.88, 622,049.31 and 148,366.50 is: 222,596.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,611.88 : 622,049.31 = 148,366.50 : x
  2. Step 2: Convert to fraction form
    414,611.88/622,049.31 = 148,366.50/x
  3. Step 3: Cross multiply
    414,611.88x = 622,049.31 × 148,366.50
  4. Step 4: Simplify right side
    414,611.88x = 92,291,278,952.12
  5. Step 5: Solve for x
    x = 92,291,278,952.12/414,611.88
  6. Step 6: Final answer
    x = 222,596.80

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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.