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Finding the Fourth Proportional to 414,097.01, 621,175.17 and 110,489.57

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Solution

The fourth proportional to 414,097.01, 621,175.17 and 110,489.57 is: 165,742.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,097.01 : 621,175.17 = 110,489.57 : x
  2. Step 2: Convert to fraction form
    414,097.01/621,175.17 = 110,489.57/x
  3. Step 3: Cross multiply
    414,097.01x = 621,175.17 × 110,489.57
  4. Step 4: Simplify right side
    414,097.01x = 68,633,374,322.10
  5. Step 5: Solve for x
    x = 68,633,374,322.10/414,097.01
  6. Step 6: Final answer
    x = 165,742.26

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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.