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Finding the Fourth Proportional to 414,712.17, 622,112.67 and 115,193.61

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Solution

The fourth proportional to 414,712.17, 622,112.67 and 115,193.61 is: 172,802.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,712.17 : 622,112.67 = 115,193.61 : x
  2. Step 2: Convert to fraction form
    414,712.17/622,112.67 = 115,193.61/x
  3. Step 3: Cross multiply
    414,712.17x = 622,112.67 × 115,193.61
  4. Step 4: Simplify right side
    414,712.17x = 71,663,404,284.04
  5. Step 5: Solve for x
    x = 71,663,404,284.04/414,712.17
  6. Step 6: Final answer
    x = 172,802.75

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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.