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Finding the Fourth Proportional to 469,294.34, 703,904.75 and 132,321.38

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Solution

The fourth proportional to 469,294.34, 703,904.75 and 132,321.38 is: 198,471.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,294.34 : 703,904.75 = 132,321.38 : x
  2. Step 2: Convert to fraction form
    469,294.34/703,904.75 = 132,321.38/x
  3. Step 3: Cross multiply
    469,294.34x = 703,904.75 × 132,321.38
  4. Step 4: Simplify right side
    469,294.34x = 93,141,647,908.56
  5. Step 5: Solve for x
    x = 93,141,647,908.56/469,294.34
  6. Step 6: Final answer
    x = 198,471.71

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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.