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Finding the Fourth Proportional to 296,481.57, 409,141.56 and 160,511.91

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Solution

The fourth proportional to 296,481.57, 409,141.56 and 160,511.91 is: 221,504.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,481.57 : 409,141.56 = 160,511.91 : x
  2. Step 2: Convert to fraction form
    296,481.57/409,141.56 = 160,511.91/x
  3. Step 3: Cross multiply
    296,481.57x = 409,141.56 × 160,511.91
  4. Step 4: Simplify right side
    296,481.57x = 65,672,093,255.98
  5. Step 5: Solve for x
    x = 65,672,093,255.98/296,481.57
  6. Step 6: Final answer
    x = 221,504.81

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1.5x scale

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.