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Finding the Fourth Proportional to 299,221.72, 412,979.38 and 178,370.72

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Solution

The fourth proportional to 299,221.72, 412,979.38 and 178,370.72 is: 246,183.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,221.72 : 412,979.38 = 178,370.72 : x
  2. Step 2: Convert to fraction form
    299,221.72/412,979.38 = 178,370.72/x
  3. Step 3: Cross multiply
    299,221.72x = 412,979.38 × 178,370.72
  4. Step 4: Simplify right side
    299,221.72x = 73,663,429,355.75
  5. Step 5: Solve for x
    x = 73,663,429,355.75/299,221.72
  6. Step 6: Final answer
    x = 246,183.43

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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.