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Finding the Fourth Proportional to 414,834, 622,251 and 119,346

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Solution

The fourth proportional to 414,834, 622,251 and 119,346 is: 179,019

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,834 : 622,251 = 119,346 : x
  2. Step 2: Convert to fraction form
    414,834/622,251 = 119,346/x
  3. Step 3: Cross multiply
    414,834x = 622,251 × 119,346
  4. Step 4: Simplify right side
    414,834x = 74,263,167,846
  5. Step 5: Solve for x
    x = 74,263,167,846/414,834
  6. Step 6: Final answer
    x = 179,019

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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.