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Finding the Fourth Proportional to 296,755.68, 409,522.28 and 160,793.31

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Solution

The fourth proportional to 296,755.68, 409,522.28 and 160,793.31 is: 221,894.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,755.68 : 409,522.28 = 160,793.31 : x
  2. Step 2: Convert to fraction form
    296,755.68/409,522.28 = 160,793.31/x
  3. Step 3: Cross multiply
    296,755.68x = 409,522.28 × 160,793.31
  4. Step 4: Simplify right side
    296,755.68x = 65,848,442,115.98
  5. Step 5: Solve for x
    x = 65,848,442,115.98/296,755.68
  6. Step 6: Final answer
    x = 221,894.46

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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.