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Finding the Fourth Proportional to 367,651.46, 507,371.31 and 204,314.84

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Solution

The fourth proportional to 367,651.46, 507,371.31 and 204,314.84 is: 281,961.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,651.46 : 507,371.31 = 204,314.84 : x
  2. Step 2: Convert to fraction form
    367,651.46/507,371.31 = 204,314.84/x
  3. Step 3: Cross multiply
    367,651.46x = 507,371.31 × 204,314.84
  4. Step 4: Simplify right side
    367,651.46x = 103,663,491,104.94
  5. Step 5: Solve for x
    x = 103,663,491,104.94/367,651.46
  6. Step 6: Final answer
    x = 281,961.32

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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.