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Finding the Fourth Proportional to 322,794.38, 484,269.32 and 101,178.38

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Solution

The fourth proportional to 322,794.38, 484,269.32 and 101,178.38 is: 151,791.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,794.38 : 484,269.32 = 101,178.38 : x
  2. Step 2: Convert to fraction form
    322,794.38/484,269.32 = 101,178.38/x
  3. Step 3: Cross multiply
    322,794.38x = 484,269.32 × 101,178.38
  4. Step 4: Simplify right side
    322,794.38x = 48,997,583,112.90
  5. Step 5: Solve for x
    x = 48,997,583,112.90/322,794.38
  6. Step 6: Final answer
    x = 151,791.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.