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Finding the Fourth Proportional to 303,834.24, 419,255.50 and 167,860.08

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Solution

The fourth proportional to 303,834.24, 419,255.50 and 167,860.08 is: 231,627.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,834.24 : 419,255.50 = 167,860.08 : x
  2. Step 2: Convert to fraction form
    303,834.24/419,255.50 = 167,860.08/x
  3. Step 3: Cross multiply
    303,834.24x = 419,255.50 × 167,860.08
  4. Step 4: Simplify right side
    303,834.24x = 70,376,261,770.44
  5. Step 5: Solve for x
    x = 70,376,261,770.44/303,834.24
  6. Step 6: Final answer
    x = 231,627.16

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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.