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Finding the Fourth Proportional to 363,922.98, 502,207.01 and 202,774.56

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Solution

The fourth proportional to 363,922.98, 502,207.01 and 202,774.56 is: 279,825.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,922.98 : 502,207.01 = 202,774.56 : x
  2. Step 2: Convert to fraction form
    363,922.98/502,207.01 = 202,774.56/x
  3. Step 3: Cross multiply
    363,922.98x = 502,207.01 × 202,774.56
  4. Step 4: Simplify right side
    363,922.98x = 101,834,805,481.67
  5. Step 5: Solve for x
    x = 101,834,805,481.67/363,922.98
  6. Step 6: Final answer
    x = 279,825.16

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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.