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Finding the Fourth Proportional to 303,851.28, 419,293.22 and 167,883.74

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Solution

The fourth proportional to 303,851.28, 419,293.22 and 167,883.74 is: 231,667.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,851.28 : 419,293.22 = 167,883.74 : x
  2. Step 2: Convert to fraction form
    303,851.28/419,293.22 = 167,883.74/x
  3. Step 3: Cross multiply
    303,851.28x = 419,293.22 × 167,883.74
  4. Step 4: Simplify right side
    303,851.28x = 70,392,513,930.24
  5. Step 5: Solve for x
    x = 70,392,513,930.24/303,851.28
  6. Step 6: Final answer
    x = 231,667.66

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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.