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Finding the Fourth Proportional to 416,994.37, 625,254.57 and 164,137.81

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Solution

The fourth proportional to 416,994.37, 625,254.57 and 164,137.81 is: 246,113.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,994.37 : 625,254.57 = 164,137.81 : x
  2. Step 2: Convert to fraction form
    416,994.37/625,254.57 = 164,137.81/x
  3. Step 3: Cross multiply
    416,994.37x = 625,254.57 × 164,137.81
  4. Step 4: Simplify right side
    416,994.37x = 102,627,915,812.29
  5. Step 5: Solve for x
    x = 102,627,915,812.29/416,994.37
  6. Step 6: Final answer
    x = 246,113.43

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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.