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Finding the Fourth Proportional to 334,198.68, 501,410.34 and 123,853.56

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Solution

The fourth proportional to 334,198.68, 501,410.34 and 123,853.56 is: 185,821.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,198.68 : 501,410.34 = 123,853.56 : x
  2. Step 2: Convert to fraction form
    334,198.68/501,410.34 = 123,853.56/x
  3. Step 3: Cross multiply
    334,198.68x = 501,410.34 × 123,853.56
  4. Step 4: Simplify right side
    334,198.68x = 62,101,455,629.81
  5. Step 5: Solve for x
    x = 62,101,455,629.81/334,198.68
  6. Step 6: Final answer
    x = 185,821.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.