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Finding the Fourth Proportional to 493,847.10, 741,645.45 and 381,799.80

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Solution

The fourth proportional to 493,847.10, 741,645.45 and 381,799.80 is: 573,376.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,847.10 : 741,645.45 = 381,799.80 : x
  2. Step 2: Convert to fraction form
    493,847.10/741,645.45 = 381,799.80/x
  3. Step 3: Cross multiply
    493,847.10x = 741,645.45 × 381,799.80
  4. Step 4: Simplify right side
    493,847.10x = 283,160,084,480.91
  5. Step 5: Solve for x
    x = 283,160,084,480.91/493,847.10
  6. Step 6: Final answer
    x = 573,376.02

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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.