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Finding the Fourth Proportional to 403,331.60, 605,216.10 and 166,698.20

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Solution

The fourth proportional to 403,331.60, 605,216.10 and 166,698.20 is: 250,137.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,331.60 : 605,216.10 = 166,698.20 : x
  2. Step 2: Convert to fraction form
    403,331.60/605,216.10 = 166,698.20/x
  3. Step 3: Cross multiply
    403,331.60x = 605,216.10 × 166,698.20
  4. Step 4: Simplify right side
    403,331.60x = 100,888,434,481.02
  5. Step 5: Solve for x
    x = 100,888,434,481.02/403,331.60
  6. Step 6: Final answer
    x = 250,137.69

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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.