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Finding the Fourth Proportional to 397,294.85, 596,015.57 and 131,073.77

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Solution

The fourth proportional to 397,294.85, 596,015.57 and 131,073.77 is: 196,634.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,294.85 : 596,015.57 = 131,073.77 : x
  2. Step 2: Convert to fraction form
    397,294.85/596,015.57 = 131,073.77/x
  3. Step 3: Cross multiply
    397,294.85x = 596,015.57 × 131,073.77
  4. Step 4: Simplify right side
    397,294.85x = 78,122,005,086.21
  5. Step 5: Solve for x
    x = 78,122,005,086.21/397,294.85
  6. Step 6: Final answer
    x = 196,634.83

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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.