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Finding the Fourth Proportional to 363,773.88, 501,982.14 and 200,423.16

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Solution

The fourth proportional to 363,773.88, 501,982.14 and 200,423.16 is: 276,569.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,773.88 : 501,982.14 = 200,423.16 : x
  2. Step 2: Convert to fraction form
    363,773.88/501,982.14 = 200,423.16/x
  3. Step 3: Cross multiply
    363,773.88x = 501,982.14 × 200,423.16
  4. Step 4: Simplify right side
    363,773.88x = 100,608,846,762.36
  5. Step 5: Solve for x
    x = 100,608,846,762.36/363,773.88
  6. Step 6: Final answer
    x = 276,569.74

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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.