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Finding the Fourth Proportional to 303,950.50, 419,451.69 and 169,840.42

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Solution

The fourth proportional to 303,950.50, 419,451.69 and 169,840.42 is: 234,379.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,950.50 : 419,451.69 = 169,840.42 : x
  2. Step 2: Convert to fraction form
    303,950.50/419,451.69 = 169,840.42/x
  3. Step 3: Cross multiply
    303,950.50x = 419,451.69 × 169,840.42
  4. Step 4: Simplify right side
    303,950.50x = 71,239,851,199.31
  5. Step 5: Solve for x
    x = 71,239,851,199.31/303,950.50
  6. Step 6: Final answer
    x = 234,379.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.