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Finding the Fourth Proportional to 494,245.20, 741,367.80 and 294,790.80

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Solution

The fourth proportional to 494,245.20, 741,367.80 and 294,790.80 is: 442,186.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,245.20 : 741,367.80 = 294,790.80 : x
  2. Step 2: Convert to fraction form
    494,245.20/741,367.80 = 294,790.80/x
  3. Step 3: Cross multiply
    494,245.20x = 741,367.80 × 294,790.80
  4. Step 4: Simplify right side
    494,245.20x = 218,548,406,856.24
  5. Step 5: Solve for x
    x = 218,548,406,856.24/494,245.20
  6. Step 6: Final answer
    x = 442,186.20

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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.