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Finding the Fourth Proportional to 409,594.26, 613,908.72 and 184,691.39

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Solution

The fourth proportional to 409,594.26, 613,908.72 and 184,691.39 is: 276,819.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,594.26 : 613,908.72 = 184,691.39 : x
  2. Step 2: Convert to fraction form
    409,594.26/613,908.72 = 184,691.39/x
  3. Step 3: Cross multiply
    409,594.26x = 613,908.72 × 184,691.39
  4. Step 4: Simplify right side
    409,594.26x = 113,383,651,760.38
  5. Step 5: Solve for x
    x = 113,383,651,760.38/409,594.26
  6. Step 6: Final answer
    x = 276,819.43

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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.