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Finding the Fourth Proportional to 298,049.20, 446,814.60 and 179,594.80

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Solution

The fourth proportional to 298,049.20, 446,814.60 and 179,594.80 is: 269,236.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,049.20 : 446,814.60 = 179,594.80 : x
  2. Step 2: Convert to fraction form
    298,049.20/446,814.60 = 179,594.80/x
  3. Step 3: Cross multiply
    298,049.20x = 446,814.60 × 179,594.80
  4. Step 4: Simplify right side
    298,049.20x = 80,245,578,724.08
  5. Step 5: Solve for x
    x = 80,245,578,724.08/298,049.20
  6. Step 6: Final answer
    x = 269,236.01

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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.