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Finding the Fourth Proportional to 316,828.38, 474,110.19 and 275,198.97

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Solution

The fourth proportional to 316,828.38, 474,110.19 and 275,198.97 is: 411,814.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,828.38 : 474,110.19 = 275,198.97 : x
  2. Step 2: Convert to fraction form
    316,828.38/474,110.19 = 275,198.97/x
  3. Step 3: Cross multiply
    316,828.38x = 474,110.19 × 275,198.97
  4. Step 4: Simplify right side
    316,828.38x = 130,474,635,954.50
  5. Step 5: Solve for x
    x = 130,474,635,954.50/316,828.38
  6. Step 6: Final answer
    x = 411,814.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.