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Finding the Fourth Proportional to 403,691.52, 605,610.24 and 166,905.60

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Solution

The fourth proportional to 403,691.52, 605,610.24 and 166,905.60 is: 250,388.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,691.52 : 605,610.24 = 166,905.60 : x
  2. Step 2: Convert to fraction form
    403,691.52/605,610.24 = 166,905.60/x
  3. Step 3: Cross multiply
    403,691.52x = 605,610.24 × 166,905.60
  4. Step 4: Simplify right side
    403,691.52x = 101,079,740,473.34
  5. Step 5: Solve for x
    x = 101,079,740,473.34/403,691.52
  6. Step 6: Final answer
    x = 250,388.57

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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.