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Finding the Fourth Proportional to 273,030.25, 409,517.70 and 73,324.69

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Solution

The fourth proportional to 273,030.25, 409,517.70 and 73,324.69 is: 109,979.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,030.25 : 409,517.70 = 73,324.69 : x
  2. Step 2: Convert to fraction form
    273,030.25/409,517.70 = 73,324.69/x
  3. Step 3: Cross multiply
    273,030.25x = 409,517.70 × 73,324.69
  4. Step 4: Simplify right side
    273,030.25x = 30,027,759,613.01
  5. Step 5: Solve for x
    x = 30,027,759,613.01/273,030.25
  6. Step 6: Final answer
    x = 109,979.61

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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.