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Finding the Fourth Proportional to 598,523.98, 825,983 and 326,606.79

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Solution

The fourth proportional to 598,523.98, 825,983 and 326,606.79 is: 450,728.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,523.98 : 825,983 = 326,606.79 : x
  2. Step 2: Convert to fraction form
    598,523.98/825,983 = 326,606.79/x
  3. Step 3: Cross multiply
    598,523.98x = 825,983 × 326,606.79
  4. Step 4: Simplify right side
    598,523.98x = 269,771,656,224.57
  5. Step 5: Solve for x
    x = 269,771,656,224.57/598,523.98
  6. Step 6: Final answer
    x = 450,728.23

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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.