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Finding the Fourth Proportional to 419,409.36, 629,111.00 and 250,976.34

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Solution

The fourth proportional to 419,409.36, 629,111.00 and 250,976.34 is: 376,462.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,409.36 : 629,111.00 = 250,976.34 : x
  2. Step 2: Convert to fraction form
    419,409.36/629,111.00 = 250,976.34/x
  3. Step 3: Cross multiply
    419,409.36x = 629,111.00 × 250,976.34
  4. Step 4: Simplify right side
    419,409.36x = 157,891,976,861.18
  5. Step 5: Solve for x
    x = 157,891,976,861.18/419,409.36
  6. Step 6: Final answer
    x = 376,462.69

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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.