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Finding the Fourth Proportional to 363,940.54, 502,232.84 and 202,802.38

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Solution

The fourth proportional to 363,940.54, 502,232.84 and 202,802.38 is: 279,864.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,940.54 : 502,232.84 = 202,802.38 : x
  2. Step 2: Convert to fraction form
    363,940.54/502,232.84 = 202,802.38/x
  3. Step 3: Cross multiply
    363,940.54x = 502,232.84 × 202,802.38
  4. Step 4: Simplify right side
    363,940.54x = 101,854,015,266.16
  5. Step 5: Solve for x
    x = 101,854,015,266.16/363,940.54
  6. Step 6: Final answer
    x = 279,864.44

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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.