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Finding the Fourth Proportional to 331,282.86, 496,958.75 and 91,396.77

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Solution

The fourth proportional to 331,282.86, 496,958.75 and 91,396.77 is: 137,104.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,282.86 : 496,958.75 = 91,396.77 : x
  2. Step 2: Convert to fraction form
    331,282.86/496,958.75 = 91,396.77/x
  3. Step 3: Cross multiply
    331,282.86x = 496,958.75 × 91,396.77
  4. Step 4: Simplify right side
    331,282.86x = 45,420,424,573.24
  5. Step 5: Solve for x
    x = 45,420,424,573.24/331,282.86
  6. Step 6: Final answer
    x = 137,104.66

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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.