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Finding the Fourth Proportional to 327,505.46, 491,304.32 and 114,242.27

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Solution

The fourth proportional to 327,505.46, 491,304.32 and 114,242.27 is: 171,379.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,505.46 : 491,304.32 = 114,242.27 : x
  2. Step 2: Convert to fraction form
    327,505.46/491,304.32 = 114,242.27/x
  3. Step 3: Cross multiply
    327,505.46x = 491,304.32 × 114,242.27
  4. Step 4: Simplify right side
    327,505.46x = 56,127,720,777.61
  5. Step 5: Solve for x
    x = 56,127,720,777.61/327,505.46
  6. Step 6: Final answer
    x = 171,379.50

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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.