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Finding the Fourth Proportional to 403,733.60, 605,381.70 and 166,808.60

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Solution

The fourth proportional to 403,733.60, 605,381.70 and 166,808.60 is: 250,122.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,733.60 : 605,381.70 = 166,808.60 : x
  2. Step 2: Convert to fraction form
    403,733.60/605,381.70 = 166,808.60/x
  3. Step 3: Cross multiply
    403,733.60x = 605,381.70 × 166,808.60
  4. Step 4: Simplify right side
    403,733.60x = 100,982,873,842.62
  5. Step 5: Solve for x
    x = 100,982,873,842.62/403,733.60
  6. Step 6: Final answer
    x = 250,122.54

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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.