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Finding the Fourth Proportional to 399,474.15, 599,213.52 and 133,233.91

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Solution

The fourth proportional to 399,474.15, 599,213.52 and 133,233.91 is: 199,851.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,474.15 : 599,213.52 = 133,233.91 : x
  2. Step 2: Convert to fraction form
    399,474.15/599,213.52 = 133,233.91/x
  3. Step 3: Cross multiply
    399,474.15x = 599,213.52 × 133,233.91
  4. Step 4: Simplify right side
    399,474.15x = 79,835,562,441.73
  5. Step 5: Solve for x
    x = 79,835,562,441.73/399,474.15
  6. Step 6: Final answer
    x = 199,851.63

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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.