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Finding the Fourth Proportional to 320,260.38, 441,982.29 and 177,017.40

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Solution

The fourth proportional to 320,260.38, 441,982.29 and 177,017.40 is: 244,296.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,260.38 : 441,982.29 = 177,017.40 : x
  2. Step 2: Convert to fraction form
    320,260.38/441,982.29 = 177,017.40/x
  3. Step 3: Cross multiply
    320,260.38x = 441,982.29 × 177,017.40
  4. Step 4: Simplify right side
    320,260.38x = 78,238,555,821.85
  5. Step 5: Solve for x
    x = 78,238,555,821.85/320,260.38
  6. Step 6: Final answer
    x = 244,296.71

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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.