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Finding the Fourth Proportional to 414,899.20, 622,425.60 and 134,425.60

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Solution

The fourth proportional to 414,899.20, 622,425.60 and 134,425.60 is: 201,663.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,899.20 : 622,425.60 = 134,425.60 : x
  2. Step 2: Convert to fraction form
    414,899.20/622,425.60 = 134,425.60/x
  3. Step 3: Cross multiply
    414,899.20x = 622,425.60 × 134,425.60
  4. Step 4: Simplify right side
    414,899.20x = 83,669,934,735.36
  5. Step 5: Solve for x
    x = 83,669,934,735.36/414,899.20
  6. Step 6: Final answer
    x = 201,663.28

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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.