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Finding the Fourth Proportional to 297,682.25, 410,799.84 and 161,715.11

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Solution

The fourth proportional to 297,682.25, 410,799.84 and 161,715.11 is: 223,165.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,682.25 : 410,799.84 = 161,715.11 : x
  2. Step 2: Convert to fraction form
    297,682.25/410,799.84 = 161,715.11/x
  3. Step 3: Cross multiply
    297,682.25x = 410,799.84 × 161,715.11
  4. Step 4: Simplify right side
    297,682.25x = 66,432,539,259.58
  5. Step 5: Solve for x
    x = 66,432,539,259.58/297,682.25
  6. Step 6: Final answer
    x = 223,165.94

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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.