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Finding the Fourth Proportional to 327,233.29, 490,849.87 and 102,594.88

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Solution

The fourth proportional to 327,233.29, 490,849.87 and 102,594.88 is: 153,892.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,233.29 : 490,849.87 = 102,594.88 : x
  2. Step 2: Convert to fraction form
    327,233.29/490,849.87 = 102,594.88/x
  3. Step 3: Cross multiply
    327,233.29x = 490,849.87 × 102,594.88
  4. Step 4: Simplify right side
    327,233.29x = 50,358,683,510.67
  5. Step 5: Solve for x
    x = 50,358,683,510.67/327,233.29
  6. Step 6: Final answer
    x = 153,892.30

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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.