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Finding the Fourth Proportional to 296,481.56, 409,141.57 and 160,511.90

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Solution

The fourth proportional to 296,481.56, 409,141.57 and 160,511.90 is: 221,504.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,481.56 : 409,141.57 = 160,511.90 : x
  2. Step 2: Convert to fraction form
    296,481.56/409,141.57 = 160,511.90/x
  3. Step 3: Cross multiply
    296,481.56x = 409,141.57 × 160,511.90
  4. Step 4: Simplify right side
    296,481.56x = 65,672,090,769.68
  5. Step 5: Solve for x
    x = 65,672,090,769.68/296,481.56
  6. Step 6: Final answer
    x = 221,504.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.