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Finding the Fourth Proportional to 414,844, 622,266 and 119,356

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Solution

The fourth proportional to 414,844, 622,266 and 119,356 is: 179,034

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,844 : 622,266 = 119,356 : x
  2. Step 2: Convert to fraction form
    414,844/622,266 = 119,356/x
  3. Step 3: Cross multiply
    414,844x = 622,266 × 119,356
  4. Step 4: Simplify right side
    414,844x = 74,271,180,696
  5. Step 5: Solve for x
    x = 74,271,180,696/414,844
  6. Step 6: Final answer
    x = 179,034

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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.