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Finding the Fourth Proportional to 325,839.01, 449,498.05 and 282,758.04

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Solution

The fourth proportional to 325,839.01, 449,498.05 and 282,758.04 is: 390,067.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,839.01 : 449,498.05 = 282,758.04 : x
  2. Step 2: Convert to fraction form
    325,839.01/449,498.05 = 282,758.04/x
  3. Step 3: Cross multiply
    325,839.01x = 449,498.05 × 282,758.04
  4. Step 4: Simplify right side
    325,839.01x = 127,099,185,209.31
  5. Step 5: Solve for x
    x = 127,099,185,209.31/325,839.01
  6. Step 6: Final answer
    x = 390,067.43

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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.