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Finding the Fourth Proportional to 414,003.36, 620,847.44 and 271,810.61

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Solution

The fourth proportional to 414,003.36, 620,847.44 and 271,810.61 is: 407,612.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,003.36 : 620,847.44 = 271,810.61 : x
  2. Step 2: Convert to fraction form
    414,003.36/620,847.44 = 271,810.61/x
  3. Step 3: Cross multiply
    414,003.36x = 620,847.44 × 271,810.61
  4. Step 4: Simplify right side
    414,003.36x = 168,752,920,267.52
  5. Step 5: Solve for x
    x = 168,752,920,267.52/414,003.36
  6. Step 6: Final answer
    x = 407,612.44

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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.