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Finding the Fourth Proportional to 394,195.86, 544,069.44 and 257,994.36

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Solution

The fourth proportional to 394,195.86, 544,069.44 and 257,994.36 is: 356,084.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,195.86 : 544,069.44 = 257,994.36 : x
  2. Step 2: Convert to fraction form
    394,195.86/544,069.44 = 257,994.36/x
  3. Step 3: Cross multiply
    394,195.86x = 544,069.44 × 257,994.36
  4. Step 4: Simplify right side
    394,195.86x = 140,366,846,968.36
  5. Step 5: Solve for x
    x = 140,366,846,968.36/394,195.86
  6. Step 6: Final answer
    x = 356,084.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.