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Finding the Fourth Proportional to 363,333.13, 501,396.10 and 202,185.38

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Solution

The fourth proportional to 363,333.13, 501,396.10 and 202,185.38 is: 279,013.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,333.13 : 501,396.10 = 202,185.38 : x
  2. Step 2: Convert to fraction form
    363,333.13/501,396.10 = 202,185.38/x
  3. Step 3: Cross multiply
    363,333.13x = 501,396.10 × 202,185.38
  4. Step 4: Simplify right side
    363,333.13x = 101,374,961,757.05
  5. Step 5: Solve for x
    x = 101,374,961,757.05/363,333.13
  6. Step 6: Final answer
    x = 279,013.81

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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.