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Finding the Fourth Proportional to 231,538.92, 347,306.40 and 180,980.48

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Solution

The fourth proportional to 231,538.92, 347,306.40 and 180,980.48 is: 271,469.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,538.92 : 347,306.40 = 180,980.48 : x
  2. Step 2: Convert to fraction form
    231,538.92/347,306.40 = 180,980.48/x
  3. Step 3: Cross multiply
    231,538.92x = 347,306.40 × 180,980.48
  4. Step 4: Simplify right side
    231,538.92x = 62,855,678,979.07
  5. Step 5: Solve for x
    x = 62,855,678,979.07/231,538.92
  6. Step 6: Final answer
    x = 271,469.17

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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.