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Finding the Fourth Proportional to 322,224.14, 444,669.14 and 178,997.52

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Solution

The fourth proportional to 322,224.14, 444,669.14 and 178,997.52 is: 247,016.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,224.14 : 444,669.14 = 178,997.52 : x
  2. Step 2: Convert to fraction form
    322,224.14/444,669.14 = 178,997.52/x
  3. Step 3: Cross multiply
    322,224.14x = 444,669.14 × 178,997.52
  4. Step 4: Simplify right side
    322,224.14x = 79,594,673,280.53
  5. Step 5: Solve for x
    x = 79,594,673,280.53/322,224.14
  6. Step 6: Final answer
    x = 247,016.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.