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Finding the Fourth Proportional to 403,748.12, 605,693.48 and 166,958.20

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Solution

The fourth proportional to 403,748.12, 605,693.48 and 166,958.20 is: 250,466.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,748.12 : 605,693.48 = 166,958.20 : x
  2. Step 2: Convert to fraction form
    403,748.12/605,693.48 = 166,958.20/x
  3. Step 3: Cross multiply
    403,748.12x = 605,693.48 × 166,958.20
  4. Step 4: Simplify right side
    403,748.12x = 101,125,493,172.54
  5. Step 5: Solve for x
    x = 101,125,493,172.54/403,748.12
  6. Step 6: Final answer
    x = 250,466.78

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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.