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Finding the Fourth Proportional to 303,791.89, 419,231.49 and 167,825.83

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Solution

The fourth proportional to 303,791.89, 419,231.49 and 167,825.83 is: 231,598.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,791.89 : 419,231.49 = 167,825.83 : x
  2. Step 2: Convert to fraction form
    303,791.89/419,231.49 = 167,825.83/x
  3. Step 3: Cross multiply
    303,791.89x = 419,231.49 × 167,825.83
  4. Step 4: Simplify right side
    303,791.89x = 70,357,871,303.74
  5. Step 5: Solve for x
    x = 70,357,871,303.74/303,791.89
  6. Step 6: Final answer
    x = 231,598.91

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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.