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Finding the Fourth Proportional to 230,034.48, 315,751.56 and 204,321.84

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Solution

The fourth proportional to 230,034.48, 315,751.56 and 204,321.84 is: 280,457.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,034.48 : 315,751.56 = 204,321.84 : x
  2. Step 2: Convert to fraction form
    230,034.48/315,751.56 = 204,321.84/x
  3. Step 3: Cross multiply
    230,034.48x = 315,751.56 × 204,321.84
  4. Step 4: Simplify right side
    230,034.48x = 64,514,939,722.07
  5. Step 5: Solve for x
    x = 64,514,939,722.07/230,034.48
  6. Step 6: Final answer
    x = 280,457.69

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.