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Finding the Fourth Proportional to 303,772.49, 419,170.11 and 167,798.28

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Solution

The fourth proportional to 303,772.49, 419,170.11 and 167,798.28 is: 231,541.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,772.49 : 419,170.11 = 167,798.28 : x
  2. Step 2: Convert to fraction form
    303,772.49/419,170.11 = 167,798.28/x
  3. Step 3: Cross multiply
    303,772.49x = 419,170.11 × 167,798.28
  4. Step 4: Simplify right side
    303,772.49x = 70,336,023,485.41
  5. Step 5: Solve for x
    x = 70,336,023,485.41/303,772.49
  6. Step 6: Final answer
    x = 231,541.78

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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.