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Finding the Fourth Proportional to 363,533.43, 501,616.31 and 202,384.38

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Solution

The fourth proportional to 363,533.43, 501,616.31 and 202,384.38 is: 279,257.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,533.43 : 501,616.31 = 202,384.38 : x
  2. Step 2: Convert to fraction form
    363,533.43/501,616.31 = 202,384.38/x
  3. Step 3: Cross multiply
    363,533.43x = 501,616.31 × 202,384.38
  4. Step 4: Simplify right side
    363,533.43x = 101,519,304,885.32
  5. Step 5: Solve for x
    x = 101,519,304,885.32/363,533.43
  6. Step 6: Final answer
    x = 279,257.14

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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.