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Finding the Fourth Proportional to 314,384.08, 433,850.09 and 171,144.09

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Solution

The fourth proportional to 314,384.08, 433,850.09 and 171,144.09 is: 236,178.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,384.08 : 433,850.09 = 171,144.09 : x
  2. Step 2: Convert to fraction form
    314,384.08/433,850.09 = 171,144.09/x
  3. Step 3: Cross multiply
    314,384.08x = 433,850.09 × 171,144.09
  4. Step 4: Simplify right side
    314,384.08x = 74,250,876,680.22
  5. Step 5: Solve for x
    x = 74,250,876,680.22/314,384.08
  6. Step 6: Final answer
    x = 236,178.87

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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.