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Finding the Fourth Proportional to 297,312.14, 410,291.82 and 161,346.05

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Solution

The fourth proportional to 297,312.14, 410,291.82 and 161,346.05 is: 222,658.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,312.14 : 410,291.82 = 161,346.05 : x
  2. Step 2: Convert to fraction form
    297,312.14/410,291.82 = 161,346.05/x
  3. Step 3: Cross multiply
    297,312.14x = 410,291.82 × 161,346.05
  4. Step 4: Simplify right side
    297,312.14x = 66,198,962,452.85
  5. Step 5: Solve for x
    x = 66,198,962,452.85/297,312.14
  6. Step 6: Final answer
    x = 222,658.12

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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.