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Finding the Fourth Proportional to 415,093.40, 622,640.10 and 273,375.80

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Solution

The fourth proportional to 415,093.40, 622,640.10 and 273,375.80 is: 410,063.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,093.40 : 622,640.10 = 273,375.80 : x
  2. Step 2: Convert to fraction form
    415,093.40/622,640.10 = 273,375.80/x
  3. Step 3: Cross multiply
    415,093.40x = 622,640.10 × 273,375.80
  4. Step 4: Simplify right side
    415,093.40x = 170,214,735,449.58
  5. Step 5: Solve for x
    x = 170,214,735,449.58/415,093.40
  6. Step 6: Final answer
    x = 410,063.70

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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.