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Finding the Fourth Proportional to 297,244.86, 410,197.34 and 161,278.77

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Solution

The fourth proportional to 297,244.86, 410,197.34 and 161,278.77 is: 222,564.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,244.86 : 410,197.34 = 161,278.77 : x
  2. Step 2: Convert to fraction form
    297,244.86/410,197.34 = 161,278.77/x
  3. Step 3: Cross multiply
    297,244.86x = 410,197.34 × 161,278.77
  4. Step 4: Simplify right side
    297,244.86x = 66,156,122,452.47
  5. Step 5: Solve for x
    x = 66,156,122,452.47/297,244.86
  6. Step 6: Final answer
    x = 222,564.40

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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.