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Finding the Fourth Proportional to 331,465.80, 497,198.70 and 205,494.60

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Solution

The fourth proportional to 331,465.80, 497,198.70 and 205,494.60 is: 308,241.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,465.80 : 497,198.70 = 205,494.60 : x
  2. Step 2: Convert to fraction form
    331,465.80/497,198.70 = 205,494.60/x
  3. Step 3: Cross multiply
    331,465.80x = 497,198.70 × 205,494.60
  4. Step 4: Simplify right side
    331,465.80x = 102,171,647,977.02
  5. Step 5: Solve for x
    x = 102,171,647,977.02/331,465.80
  6. Step 6: Final answer
    x = 308,241.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.