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Finding the Fourth Proportional to 320,078.38, 441,333.48 and 218,164.18

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Solution

The fourth proportional to 320,078.38, 441,333.48 and 218,164.18 is: 300,811.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,078.38 : 441,333.48 = 218,164.18 : x
  2. Step 2: Convert to fraction form
    320,078.38/441,333.48 = 218,164.18/x
  3. Step 3: Cross multiply
    320,078.38x = 441,333.48 × 218,164.18
  4. Step 4: Simplify right side
    320,078.38x = 96,283,156,770.75
  5. Step 5: Solve for x
    x = 96,283,156,770.75/320,078.38
  6. Step 6: Final answer
    x = 300,811.18

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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.