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Finding the Fourth Proportional to 303,748.47, 419,171.22 and 167,791.77

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Solution

The fourth proportional to 303,748.47, 419,171.22 and 167,791.77 is: 231,551.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,748.47 : 419,171.22 = 167,791.77 : x
  2. Step 2: Convert to fraction form
    303,748.47/419,171.22 = 167,791.77/x
  3. Step 3: Cross multiply
    303,748.47x = 419,171.22 × 167,791.77
  4. Step 4: Simplify right side
    303,748.47x = 70,333,480,936.86
  5. Step 5: Solve for x
    x = 70,333,480,936.86/303,748.47
  6. Step 6: Final answer
    x = 231,551.72

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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.