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Finding the Fourth Proportional to 414,680.22, 622,019.23 and 115,160.94

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Solution

The fourth proportional to 414,680.22, 622,019.23 and 115,160.94 is: 172,741.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,680.22 : 622,019.23 = 115,160.94 : x
  2. Step 2: Convert to fraction form
    414,680.22/622,019.23 = 115,160.94/x
  3. Step 3: Cross multiply
    414,680.22x = 622,019.23 × 115,160.94
  4. Step 4: Simplify right side
    414,680.22x = 71,632,319,224.88
  5. Step 5: Solve for x
    x = 71,632,319,224.88/414,680.22
  6. Step 6: Final answer
    x = 172,741.10

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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.