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Finding the Fourth Proportional to 413,388.18, 620,198.96 and 164,245.14

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Solution

The fourth proportional to 413,388.18, 620,198.96 and 164,245.14 is: 246,414.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,388.18 : 620,198.96 = 164,245.14 : x
  2. Step 2: Convert to fraction form
    413,388.18/620,198.96 = 164,245.14/x
  3. Step 3: Cross multiply
    413,388.18x = 620,198.96 × 164,245.14
  4. Step 4: Simplify right side
    413,388.18x = 101,864,664,191.83
  5. Step 5: Solve for x
    x = 101,864,664,191.83/413,388.18
  6. Step 6: Final answer
    x = 246,414.07

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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.