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Finding the Fourth Proportional to 298,717.10, 412,233.24 and 171,404.54

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Solution

The fourth proportional to 298,717.10, 412,233.24 and 171,404.54 is: 236,540.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,717.10 : 412,233.24 = 171,404.54 : x
  2. Step 2: Convert to fraction form
    298,717.10/412,233.24 = 171,404.54/x
  3. Step 3: Cross multiply
    298,717.10x = 412,233.24 × 171,404.54
  4. Step 4: Simplify right side
    298,717.10x = 70,658,648,874.91
  5. Step 5: Solve for x
    x = 70,658,648,874.91/298,717.10
  6. Step 6: Final answer
    x = 236,540.35

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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.