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Finding the Fourth Proportional to 481,747.45, 722,393.15 and 178,042

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Solution

The fourth proportional to 481,747.45, 722,393.15 and 178,042 is: 266,978.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,747.45 : 722,393.15 = 178,042 : x
  2. Step 2: Convert to fraction form
    481,747.45/722,393.15 = 178,042/x
  3. Step 3: Cross multiply
    481,747.45x = 722,393.15 × 178,042
  4. Step 4: Simplify right side
    481,747.45x = 128,616,321,212.30
  5. Step 5: Solve for x
    x = 128,616,321,212.30/481,747.45
  6. Step 6: Final answer
    x = 266,978.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.