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Finding the Fourth Proportional to 326,163.43, 488,608.47 and 224,722.16

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Solution

The fourth proportional to 326,163.43, 488,608.47 and 224,722.16 is: 336,644.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,163.43 : 488,608.47 = 224,722.16 : x
  2. Step 2: Convert to fraction form
    326,163.43/488,608.47 = 224,722.16/x
  3. Step 3: Cross multiply
    326,163.43x = 488,608.47 × 224,722.16
  4. Step 4: Simplify right side
    326,163.43x = 109,801,150,772.70
  5. Step 5: Solve for x
    x = 109,801,150,772.70/326,163.43
  6. Step 6: Final answer
    x = 336,644.58

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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.