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Finding the Fourth Proportional to 327,145.37, 490,796.46 and 158,468.54

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Solution

The fourth proportional to 327,145.37, 490,796.46 and 158,468.54 is: 237,740.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,145.37 : 490,796.46 = 158,468.54 : x
  2. Step 2: Convert to fraction form
    327,145.37/490,796.46 = 158,468.54/x
  3. Step 3: Cross multiply
    327,145.37x = 490,796.46 × 158,468.54
  4. Step 4: Simplify right side
    327,145.37x = 77,775,795,999.39
  5. Step 5: Solve for x
    x = 77,775,795,999.39/327,145.37
  6. Step 6: Final answer
    x = 237,740.79

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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.