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Finding the Fourth Proportional to 311,592.96, 467,527.68 and 231,552

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Solution

The fourth proportional to 311,592.96, 467,527.68 and 231,552 is: 347,430.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,592.96 : 467,527.68 = 231,552 : x
  2. Step 2: Convert to fraction form
    311,592.96/467,527.68 = 231,552/x
  3. Step 3: Cross multiply
    311,592.96x = 467,527.68 × 231,552
  4. Step 4: Simplify right side
    311,592.96x = 108,256,969,359.36
  5. Step 5: Solve for x
    x = 108,256,969,359.36/311,592.96
  6. Step 6: Final answer
    x = 347,430.73

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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.