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Finding the Fourth Proportional to 363,204.44, 501,228.85 and 202,074.48

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Solution

The fourth proportional to 363,204.44, 501,228.85 and 202,074.48 is: 278,866.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,204.44 : 501,228.85 = 202,074.48 : x
  2. Step 2: Convert to fraction form
    363,204.44/501,228.85 = 202,074.48/x
  3. Step 3: Cross multiply
    363,204.44x = 501,228.85 × 202,074.48
  4. Step 4: Simplify right side
    363,204.44x = 101,285,556,718.60
  5. Step 5: Solve for x
    x = 101,285,556,718.60/363,204.44
  6. Step 6: Final answer
    x = 278,866.52

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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.