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Finding the Fourth Proportional to 414,792.90, 622,189.76 and 115,273.53

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Solution

The fourth proportional to 414,792.90, 622,189.76 and 115,273.53 is: 172,910.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,792.90 : 622,189.76 = 115,273.53 : x
  2. Step 2: Convert to fraction form
    414,792.90/622,189.76 = 115,273.53/x
  3. Step 3: Cross multiply
    414,792.90x = 622,189.76 × 115,273.53
  4. Step 4: Simplify right side
    414,792.90x = 71,722,009,388.69
  5. Step 5: Solve for x
    x = 71,722,009,388.69/414,792.90
  6. Step 6: Final answer
    x = 172,910.41

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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.