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Finding the Fourth Proportional to 397,755.25, 596,632.87 and 327,486.94

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Solution

The fourth proportional to 397,755.25, 596,632.87 and 327,486.94 is: 491,230.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,755.25 : 596,632.87 = 327,486.94 : x
  2. Step 2: Convert to fraction form
    397,755.25/596,632.87 = 327,486.94/x
  3. Step 3: Cross multiply
    397,755.25x = 596,632.87 × 327,486.94
  4. Step 4: Simplify right side
    397,755.25x = 195,389,472,899.72
  5. Step 5: Solve for x
    x = 195,389,472,899.72/397,755.25
  6. Step 6: Final answer
    x = 491,230.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.