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Finding the Fourth Proportional to 274,279.20, 411,582.24 and 122,464.46

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Solution

The fourth proportional to 274,279.20, 411,582.24 and 122,464.46 is: 183,769.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,279.20 : 411,582.24 = 122,464.46 : x
  2. Step 2: Convert to fraction form
    274,279.20/411,582.24 = 122,464.46/x
  3. Step 3: Cross multiply
    274,279.20x = 411,582.24 × 122,464.46
  4. Step 4: Simplify right side
    274,279.20x = 50,404,194,709.28
  5. Step 5: Solve for x
    x = 50,404,194,709.28/274,279.20
  6. Step 6: Final answer
    x = 183,769.66

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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.