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Finding the Fourth Proportional to 494,575.92, 741,322.69 and 254,704.34

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Solution

The fourth proportional to 494,575.92, 741,322.69 and 254,704.34 is: 381,777.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,575.92 : 741,322.69 = 254,704.34 : x
  2. Step 2: Convert to fraction form
    494,575.92/741,322.69 = 254,704.34/x
  3. Step 3: Cross multiply
    494,575.92x = 741,322.69 × 254,704.34
  4. Step 4: Simplify right side
    494,575.92x = 188,818,107,700.02
  5. Step 5: Solve for x
    x = 188,818,107,700.02/494,575.92
  6. Step 6: Final answer
    x = 381,777.80

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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.