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Finding the Fourth Proportional to 314,472.83, 433,972.22 and 171,233.90

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Solution

The fourth proportional to 314,472.83, 433,972.22 and 171,233.90 is: 236,302.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,472.83 : 433,972.22 = 171,233.90 : x
  2. Step 2: Convert to fraction form
    314,472.83/433,972.22 = 171,233.90/x
  3. Step 3: Cross multiply
    314,472.83x = 433,972.22 × 171,233.90
  4. Step 4: Simplify right side
    314,472.83x = 74,310,755,046.02
  5. Step 5: Solve for x
    x = 74,310,755,046.02/314,472.83
  6. Step 6: Final answer
    x = 236,302.62

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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.