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Finding the Fourth Proportional to 403,297.60, 605,165.10 and 166,664.20

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Solution

The fourth proportional to 403,297.60, 605,165.10 and 166,664.20 is: 250,086.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,297.60 : 605,165.10 = 166,664.20 : x
  2. Step 2: Convert to fraction form
    403,297.60/605,165.10 = 166,664.20/x
  3. Step 3: Cross multiply
    403,297.60x = 605,165.10 × 166,664.20
  4. Step 4: Simplify right side
    403,297.60x = 100,859,357,259.42
  5. Step 5: Solve for x
    x = 100,859,357,259.42/403,297.60
  6. Step 6: Final answer
    x = 250,086.68

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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.