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Finding the Fourth Proportional to 360,269.88, 497,198.16 and 199,121.44

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Solution

The fourth proportional to 360,269.88, 497,198.16 and 199,121.44 is: 274,801.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,269.88 : 497,198.16 = 199,121.44 : x
  2. Step 2: Convert to fraction form
    360,269.88/497,198.16 = 199,121.44/x
  3. Step 3: Cross multiply
    360,269.88x = 497,198.16 × 199,121.44
  4. Step 4: Simplify right side
    360,269.88x = 99,002,813,584.55
  5. Step 5: Solve for x
    x = 99,002,813,584.55/360,269.88
  6. Step 6: Final answer
    x = 274,801.81

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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.