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Finding the Fourth Proportional to 323,714.27, 447,007.77 and 203,062.95

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Solution

The fourth proportional to 323,714.27, 447,007.77 and 203,062.95 is: 280,403.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,714.27 : 447,007.77 = 203,062.95 : x
  2. Step 2: Convert to fraction form
    323,714.27/447,007.77 = 203,062.95/x
  3. Step 3: Cross multiply
    323,714.27x = 447,007.77 × 203,062.95
  4. Step 4: Simplify right side
    323,714.27x = 90,770,716,449.12
  5. Step 5: Solve for x
    x = 90,770,716,449.12/323,714.27
  6. Step 6: Final answer
    x = 280,403.81

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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.