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Finding the Fourth Proportional to 599,457.96, 827,242.34 and 327,520.02

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Solution

The fourth proportional to 599,457.96, 827,242.34 and 327,520.02 is: 451,972.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,457.96 : 827,242.34 = 327,520.02 : x
  2. Step 2: Convert to fraction form
    599,457.96/827,242.34 = 327,520.02/x
  3. Step 3: Cross multiply
    599,457.96x = 827,242.34 × 327,520.02
  4. Step 4: Simplify right side
    599,457.96x = 270,938,426,104.05
  5. Step 5: Solve for x
    x = 270,938,426,104.05/599,457.96
  6. Step 6: Final answer
    x = 451,972.36

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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.