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Finding the Fourth Proportional to 496,724.60, 745,198.01 and 181,181.51

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Solution

The fourth proportional to 496,724.60, 745,198.01 and 181,181.51 is: 271,812.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,724.60 : 745,198.01 = 181,181.51 : x
  2. Step 2: Convert to fraction form
    496,724.60/745,198.01 = 181,181.51/x
  3. Step 3: Cross multiply
    496,724.60x = 745,198.01 × 181,181.51
  4. Step 4: Simplify right side
    496,724.60x = 135,016,099,542.82
  5. Step 5: Solve for x
    x = 135,016,099,542.82/496,724.60
  6. Step 6: Final answer
    x = 271,812.79

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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.