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Finding the Fourth Proportional to 296,725.27, 409,481.28 and 160,759.22

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Solution

The fourth proportional to 296,725.27, 409,481.28 and 160,759.22 is: 221,847.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,725.27 : 409,481.28 = 160,759.22 : x
  2. Step 2: Convert to fraction form
    296,725.27/409,481.28 = 160,759.22/x
  3. Step 3: Cross multiply
    296,725.27x = 409,481.28 × 160,759.22
  4. Step 4: Simplify right side
    296,725.27x = 65,827,892,512.01
  5. Step 5: Solve for x
    x = 65,827,892,512.01/296,725.27
  6. Step 6: Final answer
    x = 221,847.95

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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.