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Finding the Fourth Proportional to 414,006.36, 620,851.94 and 271,813.61

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Solution

The fourth proportional to 414,006.36, 620,851.94 and 271,813.61 is: 407,616.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,006.36 : 620,851.94 = 271,813.61 : x
  2. Step 2: Convert to fraction form
    414,006.36/620,851.94 = 271,813.61/x
  3. Step 3: Cross multiply
    414,006.36x = 620,851.94 × 271,813.61
  4. Step 4: Simplify right side
    414,006.36x = 168,756,002,623.58
  5. Step 5: Solve for x
    x = 168,756,002,623.58/414,006.36
  6. Step 6: Final answer
    x = 407,616.93

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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.