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Finding the Fourth Proportional to 493,518.72, 681,057.99 and 267,164.22

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Solution

The fourth proportional to 493,518.72, 681,057.99 and 267,164.22 is: 368,687.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,518.72 : 681,057.99 = 267,164.22 : x
  2. Step 2: Convert to fraction form
    493,518.72/681,057.99 = 267,164.22/x
  3. Step 3: Cross multiply
    493,518.72x = 681,057.99 × 267,164.22
  4. Step 4: Simplify right side
    493,518.72x = 181,954,326,673.12
  5. Step 5: Solve for x
    x = 181,954,326,673.12/493,518.72
  6. Step 6: Final answer
    x = 368,687.79

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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.