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Finding the Fourth Proportional to 325,438.72, 449,051.97 and 204,494.38

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Solution

The fourth proportional to 325,438.72, 449,051.97 and 204,494.38 is: 282,168.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,438.72 : 449,051.97 = 204,494.38 : x
  2. Step 2: Convert to fraction form
    325,438.72/449,051.97 = 204,494.38/x
  3. Step 3: Cross multiply
    325,438.72x = 449,051.97 × 204,494.38
  4. Step 4: Simplify right side
    325,438.72x = 91,828,604,192.93
  5. Step 5: Solve for x
    x = 91,828,604,192.93/325,438.72
  6. Step 6: Final answer
    x = 282,168.65

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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.