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Finding the Fourth Proportional to 494,310.30, 741,465.45 and 228,589.80

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Solution

The fourth proportional to 494,310.30, 741,465.45 and 228,589.80 is: 342,884.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,310.30 : 741,465.45 = 228,589.80 : x
  2. Step 2: Convert to fraction form
    494,310.30/741,465.45 = 228,589.80/x
  3. Step 3: Cross multiply
    494,310.30x = 741,465.45 × 228,589.80
  4. Step 4: Simplify right side
    494,310.30x = 169,491,438,922.41
  5. Step 5: Solve for x
    x = 169,491,438,922.41/494,310.30
  6. Step 6: Final answer
    x = 342,884.70

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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.