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Finding the Fourth Proportional to 414,845, 622,267.50 and 119,357

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Solution

The fourth proportional to 414,845, 622,267.50 and 119,357 is: 179,035.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,845 : 622,267.50 = 119,357 : x
  2. Step 2: Convert to fraction form
    414,845/622,267.50 = 119,357/x
  3. Step 3: Cross multiply
    414,845x = 622,267.50 × 119,357
  4. Step 4: Simplify right side
    414,845x = 74,271,981,997.50
  5. Step 5: Solve for x
    x = 74,271,981,997.50/414,845
  6. Step 6: Final answer
    x = 179,035.50

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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.