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Finding the Fourth Proportional to 365,942.25, 505,022.55 and 204,793.95

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Solution

The fourth proportional to 365,942.25, 505,022.55 and 204,793.95 is: 282,628.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,942.25 : 505,022.55 = 204,793.95 : x
  2. Step 2: Convert to fraction form
    365,942.25/505,022.55 = 204,793.95/x
  3. Step 3: Cross multiply
    365,942.25x = 505,022.55 × 204,793.95
  4. Step 4: Simplify right side
    365,942.25x = 103,425,562,853.57
  5. Step 5: Solve for x
    x = 103,425,562,853.57/365,942.25
  6. Step 6: Final answer
    x = 282,628.10

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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.