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Finding the Fourth Proportional to 327,586.57, 491,498.08 and 114,385.91

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Solution

The fourth proportional to 327,586.57, 491,498.08 and 114,385.91 is: 171,620.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,586.57 : 491,498.08 = 114,385.91 : x
  2. Step 2: Convert to fraction form
    327,586.57/491,498.08 = 114,385.91/x
  3. Step 3: Cross multiply
    327,586.57x = 491,498.08 × 114,385.91
  4. Step 4: Simplify right side
    327,586.57x = 56,220,452,400.60
  5. Step 5: Solve for x
    x = 56,220,452,400.60/327,586.57
  6. Step 6: Final answer
    x = 171,620.14

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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.