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Finding the Fourth Proportional to 363,941.78, 502,242.93 and 200,589.28

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Solution

The fourth proportional to 363,941.78, 502,242.93 and 200,589.28 is: 276,815.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,941.78 : 502,242.93 = 200,589.28 : x
  2. Step 2: Convert to fraction form
    363,941.78/502,242.93 = 200,589.28/x
  3. Step 3: Cross multiply
    363,941.78x = 502,242.93 × 200,589.28
  4. Step 4: Simplify right side
    363,941.78x = 100,744,546,458.18
  5. Step 5: Solve for x
    x = 100,744,546,458.18/363,941.78
  6. Step 6: Final answer
    x = 276,815.01

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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.