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Finding the Fourth Proportional to 314,408.11, 434,171.39 and 199,723.72

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Solution

The fourth proportional to 314,408.11, 434,171.39 and 199,723.72 is: 275,801.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,408.11 : 434,171.39 = 199,723.72 : x
  2. Step 2: Convert to fraction form
    314,408.11/434,171.39 = 199,723.72/x
  3. Step 3: Cross multiply
    314,408.11x = 434,171.39 × 199,723.72
  4. Step 4: Simplify right side
    314,408.11x = 86,714,325,128.37
  5. Step 5: Solve for x
    x = 86,714,325,128.37/314,408.11
  6. Step 6: Final answer
    x = 275,801.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.