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Finding the Fourth Proportional to 397,337.26, 540,989.49 and 396,076.09

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Solution

The fourth proportional to 397,337.26, 540,989.49 and 396,076.09 is: 539,272.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,337.26 : 540,989.49 = 396,076.09 : x
  2. Step 2: Convert to fraction form
    397,337.26/540,989.49 = 396,076.09/x
  3. Step 3: Cross multiply
    397,337.26x = 540,989.49 × 396,076.09
  4. Step 4: Simplify right side
    397,337.26x = 214,273,001,930.29
  5. Step 5: Solve for x
    x = 214,273,001,930.29/397,337.26
  6. Step 6: Final answer
    x = 539,272.36

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.