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Finding the Fourth Proportional to 363,796.01, 502,054.02 and 202,651.17

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Solution

The fourth proportional to 363,796.01, 502,054.02 and 202,651.17 is: 279,667.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,796.01 : 502,054.02 = 202,651.17 : x
  2. Step 2: Convert to fraction form
    363,796.01/502,054.02 = 202,651.17/x
  3. Step 3: Cross multiply
    363,796.01x = 502,054.02 × 202,651.17
  4. Step 4: Simplify right side
    363,796.01x = 101,741,834,556.20
  5. Step 5: Solve for x
    x = 101,741,834,556.20/363,796.01
  6. Step 6: Final answer
    x = 279,667.27

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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.