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Finding the Fourth Proportional to 361,296.90, 498,620.34 and 200,202.48

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Solution

The fourth proportional to 361,296.90, 498,620.34 and 200,202.48 is: 276,296.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,296.90 : 498,620.34 = 200,202.48 : x
  2. Step 2: Convert to fraction form
    361,296.90/498,620.34 = 200,202.48/x
  3. Step 3: Cross multiply
    361,296.90x = 498,620.34 × 200,202.48
  4. Step 4: Simplify right side
    361,296.90x = 99,825,028,646.44
  5. Step 5: Solve for x
    x = 99,825,028,646.44/361,296.90
  6. Step 6: Final answer
    x = 276,296.39

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1.5x scale

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.