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Finding the Fourth Proportional to 297,377.10, 410,380.80 and 161,411.07

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Solution

The fourth proportional to 297,377.10, 410,380.80 and 161,411.07 is: 222,747.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,377.10 : 410,380.80 = 161,411.07 : x
  2. Step 2: Convert to fraction form
    297,377.10/410,380.80 = 161,411.07/x
  3. Step 3: Cross multiply
    297,377.10x = 410,380.80 × 161,411.07
  4. Step 4: Simplify right side
    297,377.10x = 66,240,004,035.46
  5. Step 5: Solve for x
    x = 66,240,004,035.46/297,377.10
  6. Step 6: Final answer
    x = 222,747.49

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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.