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Finding the Fourth Proportional to 355,442.24, 490,553.52 and 204,536

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Solution

The fourth proportional to 355,442.24, 490,553.52 and 204,536 is: 282,284.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,442.24 : 490,553.52 = 204,536 : x
  2. Step 2: Convert to fraction form
    355,442.24/490,553.52 = 204,536/x
  3. Step 3: Cross multiply
    355,442.24x = 490,553.52 × 204,536
  4. Step 4: Simplify right side
    355,442.24x = 100,335,854,766.72
  5. Step 5: Solve for x
    x = 100,335,854,766.72/355,442.24
  6. Step 6: Final answer
    x = 282,284.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.