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Finding the Fourth Proportional to 414,729.72, 622,106.46 and 115,232.22

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Solution

The fourth proportional to 414,729.72, 622,106.46 and 115,232.22 is: 172,851.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,729.72 : 622,106.46 = 115,232.22 : x
  2. Step 2: Convert to fraction form
    414,729.72/622,106.46 = 115,232.22/x
  3. Step 3: Cross multiply
    414,729.72x = 622,106.46 × 115,232.22
  4. Step 4: Simplify right side
    414,729.72x = 71,686,708,462.14
  5. Step 5: Solve for x
    x = 71,686,708,462.14/414,729.72
  6. Step 6: Final answer
    x = 172,851.63

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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.