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Finding the Fourth Proportional to 417,454.14, 625,791.65 and 164,736.73

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Solution

The fourth proportional to 417,454.14, 625,791.65 and 164,736.73 is: 246,951.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,454.14 : 625,791.65 = 164,736.73 : x
  2. Step 2: Convert to fraction form
    417,454.14/625,791.65 = 164,736.73/x
  3. Step 3: Cross multiply
    417,454.14x = 625,791.65 × 164,736.73
  4. Step 4: Simplify right side
    417,454.14x = 103,090,866,953.35
  5. Step 5: Solve for x
    x = 103,090,866,953.35/417,454.14
  6. Step 6: Final answer
    x = 246,951.36

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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.