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Finding the Fourth Proportional to 273,190.86, 409,784.40 and 226,345.32

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Solution

The fourth proportional to 273,190.86, 409,784.40 and 226,345.32 is: 339,516.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,190.86 : 409,784.40 = 226,345.32 : x
  2. Step 2: Convert to fraction form
    273,190.86/409,784.40 = 226,345.32/x
  3. Step 3: Cross multiply
    273,190.86x = 409,784.40 × 226,345.32
  4. Step 4: Simplify right side
    273,190.86x = 92,752,781,149.01
  5. Step 5: Solve for x
    x = 92,752,781,149.01/273,190.86
  6. Step 6: Final answer
    x = 339,516.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.