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Finding the Fourth Proportional to 331,340.50, 497,010.75 and 82,022.50

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Solution

The fourth proportional to 331,340.50, 497,010.75 and 82,022.50 is: 123,033.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,340.50 : 497,010.75 = 82,022.50 : x
  2. Step 2: Convert to fraction form
    331,340.50/497,010.75 = 82,022.50/x
  3. Step 3: Cross multiply
    331,340.50x = 497,010.75 × 82,022.50
  4. Step 4: Simplify right side
    331,340.50x = 40,766,064,241.88
  5. Step 5: Solve for x
    x = 40,766,064,241.88/331,340.50
  6. Step 6: Final answer
    x = 123,033.75

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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.