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Finding the Fourth Proportional to 363,661.36, 501,838.68 and 202,523.20

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Solution

The fourth proportional to 363,661.36, 501,838.68 and 202,523.20 is: 279,474.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,661.36 : 501,838.68 = 202,523.20 : x
  2. Step 2: Convert to fraction form
    363,661.36/501,838.68 = 202,523.20/x
  3. Step 3: Cross multiply
    363,661.36x = 501,838.68 × 202,523.20
  4. Step 4: Simplify right side
    363,661.36x = 101,633,975,357.38
  5. Step 5: Solve for x
    x = 101,633,975,357.38/363,661.36
  6. Step 6: Final answer
    x = 279,474.22

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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.