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Finding the Fourth Proportional to 416,930.88, 625,433.22 and 117,414.12

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Solution

The fourth proportional to 416,930.88, 625,433.22 and 117,414.12 is: 176,131.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,930.88 : 625,433.22 = 117,414.12 : x
  2. Step 2: Convert to fraction form
    416,930.88/625,433.22 = 117,414.12/x
  3. Step 3: Cross multiply
    416,930.88x = 625,433.22 × 117,414.12
  4. Step 4: Simplify right side
    416,930.88x = 73,434,691,145.07
  5. Step 5: Solve for x
    x = 73,434,691,145.07/416,930.88
  6. Step 6: Final answer
    x = 176,131.57

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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.