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Finding the Fourth Proportional to 599,293, 827,027.14 and 327,364.66

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Solution

The fourth proportional to 599,293, 827,027.14 and 327,364.66 is: 451,764.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,293 : 827,027.14 = 327,364.66 : x
  2. Step 2: Convert to fraction form
    599,293/827,027.14 = 327,364.66/x
  3. Step 3: Cross multiply
    599,293x = 827,027.14 × 327,364.66
  4. Step 4: Simplify right side
    599,293x = 270,739,458,496.87
  5. Step 5: Solve for x
    x = 270,739,458,496.87/599,293
  6. Step 6: Final answer
    x = 451,764.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.