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Finding the Fourth Proportional to 414,960.30, 622,355.40 and 115,365.60

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Solution

The fourth proportional to 414,960.30, 622,355.40 and 115,365.60 is: 173,024.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,960.30 : 622,355.40 = 115,365.60 : x
  2. Step 2: Convert to fraction form
    414,960.30/622,355.40 = 115,365.60/x
  3. Step 3: Cross multiply
    414,960.30x = 622,355.40 × 115,365.60
  4. Step 4: Simplify right side
    414,960.30x = 71,798,404,134.24
  5. Step 5: Solve for x
    x = 71,798,404,134.24/414,960.30
  6. Step 6: Final answer
    x = 173,024.75

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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.