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Finding the Fourth Proportional to 414,611.38, 622,048.56 and 148,366

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Solution

The fourth proportional to 414,611.38, 622,048.56 and 148,366 is: 222,596.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,611.38 : 622,048.56 = 148,366 : x
  2. Step 2: Convert to fraction form
    414,611.38/622,048.56 = 148,366/x
  3. Step 3: Cross multiply
    414,611.38x = 622,048.56 × 148,366
  4. Step 4: Simplify right side
    414,611.38x = 92,290,856,652.96
  5. Step 5: Solve for x
    x = 92,290,856,652.96/414,611.38
  6. Step 6: Final answer
    x = 222,596.05

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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.