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Finding the Fourth Proportional to 294,097.86, 405,530.85 and 203,296.19

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Solution

The fourth proportional to 294,097.86, 405,530.85 and 203,296.19 is: 280,324.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,097.86 : 405,530.85 = 203,296.19 : x
  2. Step 2: Convert to fraction form
    294,097.86/405,530.85 = 203,296.19/x
  3. Step 3: Cross multiply
    294,097.86x = 405,530.85 × 203,296.19
  4. Step 4: Simplify right side
    294,097.86x = 82,442,876,732.46
  5. Step 5: Solve for x
    x = 82,442,876,732.46/294,097.86
  6. Step 6: Final answer
    x = 280,324.64

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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.