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Finding the Fourth Proportional to 363,796.38, 502,054.54 and 202,651.54

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Solution

The fourth proportional to 363,796.38, 502,054.54 and 202,651.54 is: 279,667.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,796.38 : 502,054.54 = 202,651.54 : x
  2. Step 2: Convert to fraction form
    363,796.38/502,054.54 = 202,651.54/x
  3. Step 3: Cross multiply
    363,796.38x = 502,054.54 × 202,651.54
  4. Step 4: Simplify right side
    363,796.38x = 101,742,123,933.23
  5. Step 5: Solve for x
    x = 101,742,123,933.23/363,796.38
  6. Step 6: Final answer
    x = 279,667.77

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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.