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Finding the Fourth Proportional to 349,102.53, 481,816.22 and 205,878.33

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Solution

The fourth proportional to 349,102.53, 481,816.22 and 205,878.33 is: 284,144.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,102.53 : 481,816.22 = 205,878.33 : x
  2. Step 2: Convert to fraction form
    349,102.53/481,816.22 = 205,878.33/x
  3. Step 3: Cross multiply
    349,102.53x = 481,816.22 × 205,878.33
  4. Step 4: Simplify right side
    349,102.53x = 99,195,517,711.12
  5. Step 5: Solve for x
    x = 99,195,517,711.12/349,102.53
  6. Step 6: Final answer
    x = 284,144.37

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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.