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Finding the Fourth Proportional to 413,808.20, 620,712.30 and 394,562.60

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Solution

The fourth proportional to 413,808.20, 620,712.30 and 394,562.60 is: 591,843.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,808.20 : 620,712.30 = 394,562.60 : x
  2. Step 2: Convert to fraction form
    413,808.20/620,712.30 = 394,562.60/x
  3. Step 3: Cross multiply
    413,808.20x = 620,712.30 × 394,562.60
  4. Step 4: Simplify right side
    413,808.20x = 244,909,858,939.98
  5. Step 5: Solve for x
    x = 244,909,858,939.98/413,808.20
  6. Step 6: Final answer
    x = 591,843.90

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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.