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Finding the Fourth Proportional to 414,912.80, 622,676.40 and 165,773.60

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Solution

The fourth proportional to 414,912.80, 622,676.40 and 165,773.60 is: 248,783.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,912.80 : 622,676.40 = 165,773.60 : x
  2. Step 2: Convert to fraction form
    414,912.80/622,676.40 = 165,773.60/x
  3. Step 3: Cross multiply
    414,912.80x = 622,676.40 × 165,773.60
  4. Step 4: Simplify right side
    414,912.80x = 103,223,308,463.04
  5. Step 5: Solve for x
    x = 103,223,308,463.04/414,912.80
  6. Step 6: Final answer
    x = 248,783.14

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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.