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Finding the Fourth Proportional to 414,846, 622,269 and 119,358

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Solution

The fourth proportional to 414,846, 622,269 and 119,358 is: 179,037

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,846 : 622,269 = 119,358 : x
  2. Step 2: Convert to fraction form
    414,846/622,269 = 119,358/x
  3. Step 3: Cross multiply
    414,846x = 622,269 × 119,358
  4. Step 4: Simplify right side
    414,846x = 74,272,783,302
  5. Step 5: Solve for x
    x = 74,272,783,302/414,846
  6. Step 6: Final answer
    x = 179,037

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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.