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Finding the Fourth Proportional to 598,086.72, 825,370.56 and 326,157.84

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Solution

The fourth proportional to 598,086.72, 825,370.56 and 326,157.84 is: 450,103.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,086.72 : 825,370.56 = 326,157.84 : x
  2. Step 2: Convert to fraction form
    598,086.72/825,370.56 = 326,157.84/x
  3. Step 3: Cross multiply
    598,086.72x = 825,370.56 × 326,157.84
  4. Step 4: Simplify right side
    598,086.72x = 269,201,079,049.19
  5. Step 5: Solve for x
    x = 269,201,079,049.19/598,086.72
  6. Step 6: Final answer
    x = 450,103.76

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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.