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Finding the Fourth Proportional to 320,093.98, 480,062.46 and 151,608.22

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Solution

The fourth proportional to 320,093.98, 480,062.46 and 151,608.22 is: 227,375.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,093.98 : 480,062.46 = 151,608.22 : x
  2. Step 2: Convert to fraction form
    320,093.98/480,062.46 = 151,608.22/x
  3. Step 3: Cross multiply
    320,093.98x = 480,062.46 × 151,608.22
  4. Step 4: Simplify right side
    320,093.98x = 72,781,415,049.42
  5. Step 5: Solve for x
    x = 72,781,415,049.42/320,093.98
  6. Step 6: Final answer
    x = 227,375.14

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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.