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Finding the Fourth Proportional to 363,286.74, 501,322.05 and 202,147.86

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Solution

The fourth proportional to 363,286.74, 501,322.05 and 202,147.86 is: 278,956.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,286.74 : 501,322.05 = 202,147.86 : x
  2. Step 2: Convert to fraction form
    363,286.74/501,322.05 = 202,147.86/x
  3. Step 3: Cross multiply
    363,286.74x = 501,322.05 × 202,147.86
  4. Step 4: Simplify right side
    363,286.74x = 101,341,179,578.31
  5. Step 5: Solve for x
    x = 101,341,179,578.31/363,286.74
  6. Step 6: Final answer
    x = 278,956.45

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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.