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Finding the Fourth Proportional to 320,077.38, 441,332.10 and 218,163.18

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Solution

The fourth proportional to 320,077.38, 441,332.10 and 218,163.18 is: 300,809.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,077.38 : 441,332.10 = 218,163.18 : x
  2. Step 2: Convert to fraction form
    320,077.38/441,332.10 = 218,163.18/x
  3. Step 3: Cross multiply
    320,077.38x = 441,332.10 × 218,163.18
  4. Step 4: Simplify right side
    320,077.38x = 96,282,414,372.08
  5. Step 5: Solve for x
    x = 96,282,414,372.08/320,077.38
  6. Step 6: Final answer
    x = 300,809.81

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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.