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Finding the Fourth Proportional to 416,994.87, 625,255.32 and 164,138.31

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Solution

The fourth proportional to 416,994.87, 625,255.32 and 164,138.31 is: 246,114.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,994.87 : 625,255.32 = 164,138.31 : x
  2. Step 2: Convert to fraction form
    416,994.87/625,255.32 = 164,138.31/x
  3. Step 3: Cross multiply
    416,994.87x = 625,255.32 × 164,138.31
  4. Step 4: Simplify right side
    416,994.87x = 102,628,351,543.31
  5. Step 5: Solve for x
    x = 102,628,351,543.31/416,994.87
  6. Step 6: Final answer
    x = 246,114.18

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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.