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Finding the Fourth Proportional to 355,469.44, 490,548.24 and 204,566.56

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Solution

The fourth proportional to 355,469.44, 490,548.24 and 204,566.56 is: 282,302.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,469.44 : 490,548.24 = 204,566.56 : x
  2. Step 2: Convert to fraction form
    355,469.44/490,548.24 = 204,566.56/x
  3. Step 3: Cross multiply
    355,469.44x = 490,548.24 × 204,566.56
  4. Step 4: Simplify right side
    355,469.44x = 100,349,765,970.85
  5. Step 5: Solve for x
    x = 100,349,765,970.85/355,469.44
  6. Step 6: Final answer
    x = 282,302.09

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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.