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Finding the Fourth Proportional to 362,898, 500,799.24 and 203,922

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Solution

The fourth proportional to 362,898, 500,799.24 and 203,922 is: 281,412.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,898 : 500,799.24 = 203,922 : x
  2. Step 2: Convert to fraction form
    362,898/500,799.24 = 203,922/x
  3. Step 3: Cross multiply
    362,898x = 500,799.24 × 203,922
  4. Step 4: Simplify right side
    362,898x = 102,123,982,619.28
  5. Step 5: Solve for x
    x = 102,123,982,619.28/362,898
  6. Step 6: Final answer
    x = 281,412.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.