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Finding the Fourth Proportional to 363,921.72, 502,205.28 and 202,773.30

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Solution

The fourth proportional to 363,921.72, 502,205.28 and 202,773.30 is: 279,823.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,921.72 : 502,205.28 = 202,773.30 : x
  2. Step 2: Convert to fraction form
    363,921.72/502,205.28 = 202,773.30/x
  3. Step 3: Cross multiply
    363,921.72x = 502,205.28 × 202,773.30
  4. Step 4: Simplify right side
    363,921.72x = 101,833,821,903.02
  5. Step 5: Solve for x
    x = 101,833,821,903.02/363,921.72
  6. Step 6: Final answer
    x = 279,823.42

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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.