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Finding the Fourth Proportional to 363,913.75, 502,194.27 and 202,765.33

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Solution

The fourth proportional to 363,913.75, 502,194.27 and 202,765.33 is: 279,812.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,913.75 : 502,194.27 = 202,765.33 : x
  2. Step 2: Convert to fraction form
    363,913.75/502,194.27 = 202,765.33/x
  3. Step 3: Cross multiply
    363,913.75x = 502,194.27 × 202,765.33
  4. Step 4: Simplify right side
    363,913.75x = 101,827,586,880.66
  5. Step 5: Solve for x
    x = 101,827,586,880.66/363,913.75
  6. Step 6: Final answer
    x = 279,812.42

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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.