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Finding the Fourth Proportional to 326,085.26, 449,807.01 and 205,034.90

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Solution

The fourth proportional to 326,085.26, 449,807.01 and 205,034.90 is: 282,828.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,085.26 : 449,807.01 = 205,034.90 : x
  2. Step 2: Convert to fraction form
    326,085.26/449,807.01 = 205,034.90/x
  3. Step 3: Cross multiply
    326,085.26x = 449,807.01 × 205,034.90
  4. Step 4: Simplify right side
    326,085.26x = 92,226,135,314.65
  5. Step 5: Solve for x
    x = 92,226,135,314.65/326,085.26
  6. Step 6: Final answer
    x = 282,828.29

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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.