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Finding the Fourth Proportional to 414,800.73, 622,330.27 and 148,563.55

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Solution

The fourth proportional to 414,800.73, 622,330.27 and 148,563.55 is: 222,891.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,800.73 : 622,330.27 = 148,563.55 : x
  2. Step 2: Convert to fraction form
    414,800.73/622,330.27 = 148,563.55/x
  3. Step 3: Cross multiply
    414,800.73x = 622,330.27 × 148,563.55
  4. Step 4: Simplify right side
    414,800.73x = 92,455,595,425.83
  5. Step 5: Solve for x
    x = 92,455,595,425.83/414,800.73
  6. Step 6: Final answer
    x = 222,891.59

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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.