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Finding the Fourth Proportional to 364,380.29, 502,845.67 and 203,245.77

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Solution

The fourth proportional to 364,380.29, 502,845.67 and 203,245.77 is: 280,479.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,380.29 : 502,845.67 = 203,245.77 : x
  2. Step 2: Convert to fraction form
    364,380.29/502,845.67 = 203,245.77/x
  3. Step 3: Cross multiply
    364,380.29x = 502,845.67 × 203,245.77
  4. Step 4: Simplify right side
    364,380.29x = 102,201,257,530.04
  5. Step 5: Solve for x
    x = 102,201,257,530.04/364,380.29
  6. Step 6: Final answer
    x = 280,479.65

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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.