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Finding the Fourth Proportional to 366,491.84, 505,758.38 and 205,348.04

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Solution

The fourth proportional to 366,491.84, 505,758.38 and 205,348.04 is: 283,380.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,491.84 : 505,758.38 = 205,348.04 : x
  2. Step 2: Convert to fraction form
    366,491.84/505,758.38 = 205,348.04/x
  3. Step 3: Cross multiply
    366,491.84x = 505,758.38 × 205,348.04
  4. Step 4: Simplify right side
    366,491.84x = 103,856,491,542.72
  5. Step 5: Solve for x
    x = 103,856,491,542.72/366,491.84
  6. Step 6: Final answer
    x = 283,380.10

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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.