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Finding the Fourth Proportional to 327,779.52, 491,787.12 and 114,578.64

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Solution

The fourth proportional to 327,779.52, 491,787.12 and 114,578.64 is: 171,909.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,779.52 : 491,787.12 = 114,578.64 : x
  2. Step 2: Convert to fraction form
    327,779.52/491,787.12 = 114,578.64/x
  3. Step 3: Cross multiply
    327,779.52x = 491,787.12 × 114,578.64
  4. Step 4: Simplify right side
    327,779.52x = 56,348,299,379.12
  5. Step 5: Solve for x
    x = 56,348,299,379.12/327,779.52
  6. Step 6: Final answer
    x = 171,909.15

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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.