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Finding the Fourth Proportional to 327,991.10, 491,564.23 and 159,184.74

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Solution

The fourth proportional to 327,991.10, 491,564.23 and 159,184.74 is: 238,572.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,991.10 : 491,564.23 = 159,184.74 : x
  2. Step 2: Convert to fraction form
    327,991.10/491,564.23 = 159,184.74/x
  3. Step 3: Cross multiply
    327,991.10x = 491,564.23 × 159,184.74
  4. Step 4: Simplify right side
    327,991.10x = 78,249,524,145.85
  5. Step 5: Solve for x
    x = 78,249,524,145.85/327,991.10
  6. Step 6: Final answer
    x = 238,572.10

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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.