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Finding the Fourth Proportional to 331,064.84, 496,594.62 and 219,245.42

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Solution

The fourth proportional to 331,064.84, 496,594.62 and 219,245.42 is: 328,866.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,064.84 : 496,594.62 = 219,245.42 : x
  2. Step 2: Convert to fraction form
    331,064.84/496,594.62 = 219,245.42/x
  3. Step 3: Cross multiply
    331,064.84x = 496,594.62 × 219,245.42
  4. Step 4: Simplify right side
    331,064.84x = 108,876,093,548.67
  5. Step 5: Solve for x
    x = 108,876,093,548.67/331,064.84
  6. Step 6: Final answer
    x = 328,866.38

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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.