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Finding the Fourth Proportional to 314,500.26, 433,998.90 and 171,257.16

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Solution

The fourth proportional to 314,500.26, 433,998.90 and 171,257.16 is: 236,328.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,500.26 : 433,998.90 = 171,257.16 : x
  2. Step 2: Convert to fraction form
    314,500.26/433,998.90 = 171,257.16/x
  3. Step 3: Cross multiply
    314,500.26x = 433,998.90 × 171,257.16
  4. Step 4: Simplify right side
    314,500.26x = 74,325,419,057.12
  5. Step 5: Solve for x
    x = 74,325,419,057.12/314,500.26
  6. Step 6: Final answer
    x = 236,328.64

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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.