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Finding the Fourth Proportional to 327,812.95, 491,806.91 and 117,472.15

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Solution

The fourth proportional to 327,812.95, 491,806.91 and 117,472.15 is: 176,239.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,812.95 : 491,806.91 = 117,472.15 : x
  2. Step 2: Convert to fraction form
    327,812.95/491,806.91 = 117,472.15/x
  3. Step 3: Cross multiply
    327,812.95x = 491,806.91 × 117,472.15
  4. Step 4: Simplify right side
    327,812.95x = 57,773,615,102.56
  5. Step 5: Solve for x
    x = 57,773,615,102.56/327,812.95
  6. Step 6: Final answer
    x = 176,239.58

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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.