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Finding the Fourth Proportional to 416,995.87, 625,256.82 and 164,139.31

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Solution

The fourth proportional to 416,995.87, 625,256.82 and 164,139.31 is: 246,115.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,995.87 : 625,256.82 = 164,139.31 : x
  2. Step 2: Convert to fraction form
    416,995.87/625,256.82 = 164,139.31/x
  3. Step 3: Cross multiply
    416,995.87x = 625,256.82 × 164,139.31
  4. Step 4: Simplify right side
    416,995.87x = 102,629,223,007.59
  5. Step 5: Solve for x
    x = 102,629,223,007.59/416,995.87
  6. Step 6: Final answer
    x = 246,115.68

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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.