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Finding the Fourth Proportional to 403,732.60, 605,380.20 and 166,807.60

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Solution

The fourth proportional to 403,732.60, 605,380.20 and 166,807.60 is: 250,121.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,732.60 : 605,380.20 = 166,807.60 : x
  2. Step 2: Convert to fraction form
    403,732.60/605,380.20 = 166,807.60/x
  3. Step 3: Cross multiply
    403,732.60x = 605,380.20 × 166,807.60
  4. Step 4: Simplify right side
    403,732.60x = 100,982,018,249.52
  5. Step 5: Solve for x
    x = 100,982,018,249.52/403,732.60
  6. Step 6: Final answer
    x = 250,121.04

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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.