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Finding the Fourth Proportional to 397,414.56, 596,194.92 and 131,193.48

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Solution

The fourth proportional to 397,414.56, 596,194.92 and 131,193.48 is: 196,814.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,414.56 : 596,194.92 = 131,193.48 : x
  2. Step 2: Convert to fraction form
    397,414.56/596,194.92 = 131,193.48/x
  3. Step 3: Cross multiply
    397,414.56x = 596,194.92 × 131,193.48
  4. Step 4: Simplify right side
    397,414.56x = 78,216,886,313.12
  5. Step 5: Solve for x
    x = 78,216,886,313.12/397,414.56
  6. Step 6: Final answer
    x = 196,814.34

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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.