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Finding the Fourth Proportional to 303,782.44, 419,218.43 and 167,816.45

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Solution

The fourth proportional to 303,782.44, 419,218.43 and 167,816.45 is: 231,585.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,782.44 : 419,218.43 = 167,816.45 : x
  2. Step 2: Convert to fraction form
    303,782.44/419,218.43 = 167,816.45/x
  3. Step 3: Cross multiply
    303,782.44x = 419,218.43 × 167,816.45
  4. Step 4: Simplify right side
    303,782.44x = 70,351,750,232.80
  5. Step 5: Solve for x
    x = 70,351,750,232.80/303,782.44
  6. Step 6: Final answer
    x = 231,585.96

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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.