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Finding the Fourth Proportional to 397,193.29, 548,137.40 and 215,917.38

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Solution

The fourth proportional to 397,193.29, 548,137.40 and 215,917.38 is: 297,971.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,193.29 : 548,137.40 = 215,917.38 : x
  2. Step 2: Convert to fraction form
    397,193.29/548,137.40 = 215,917.38/x
  3. Step 3: Cross multiply
    397,193.29x = 548,137.40 × 215,917.38
  4. Step 4: Simplify right side
    397,193.29x = 118,352,390,208.43
  5. Step 5: Solve for x
    x = 118,352,390,208.43/397,193.29
  6. Step 6: Final answer
    x = 297,971.78

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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.