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Finding the Fourth Proportional to 327,589.93, 491,503.16 and 114,389.28

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Solution

The fourth proportional to 327,589.93, 491,503.16 and 114,389.28 is: 171,625.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,589.93 : 491,503.16 = 114,389.28 : x
  2. Step 2: Convert to fraction form
    327,589.93/491,503.16 = 114,389.28/x
  3. Step 3: Cross multiply
    327,589.93x = 491,503.16 × 114,389.28
  4. Step 4: Simplify right side
    327,589.93x = 56,222,692,876.10
  5. Step 5: Solve for x
    x = 56,222,692,876.10/327,589.93
  6. Step 6: Final answer
    x = 171,625.22

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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.