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Finding the Fourth Proportional to 274,540.94, 411,714.92 and 82,358.06

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Solution

The fourth proportional to 274,540.94, 411,714.92 and 82,358.06 is: 123,508.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,540.94 : 411,714.92 = 82,358.06 : x
  2. Step 2: Convert to fraction form
    274,540.94/411,714.92 = 82,358.06/x
  3. Step 3: Cross multiply
    274,540.94x = 411,714.92 × 82,358.06
  4. Step 4: Simplify right side
    274,540.94x = 33,908,042,084.26
  5. Step 5: Solve for x
    x = 33,908,042,084.26/274,540.94
  6. Step 6: Final answer
    x = 123,508.14

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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.