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Finding the Fourth Proportional to 299,476.26, 413,128.11 and 178,532.34

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Solution

The fourth proportional to 299,476.26, 413,128.11 and 178,532.34 is: 246,285.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,476.26 : 413,128.11 = 178,532.34 : x
  2. Step 2: Convert to fraction form
    299,476.26/413,128.11 = 178,532.34/x
  3. Step 3: Cross multiply
    299,476.26x = 413,128.11 × 178,532.34
  4. Step 4: Simplify right side
    299,476.26x = 73,756,728,198.08
  5. Step 5: Solve for x
    x = 73,756,728,198.08/299,476.26
  6. Step 6: Final answer
    x = 246,285.73

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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.