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Finding the Fourth Proportional to 303,857.58, 419,348 and 167,903.44

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Solution

The fourth proportional to 303,857.58, 419,348 and 167,903.44 is: 231,720.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,857.58 : 419,348 = 167,903.44 : x
  2. Step 2: Convert to fraction form
    303,857.58/419,348 = 167,903.44/x
  3. Step 3: Cross multiply
    303,857.58x = 419,348 × 167,903.44
  4. Step 4: Simplify right side
    303,857.58x = 70,409,971,757.12
  5. Step 5: Solve for x
    x = 70,409,971,757.12/303,857.58
  6. Step 6: Final answer
    x = 231,720.31

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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.