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Finding the Fourth Proportional to 296,481.43, 409,144.11 and 160,516.55

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Solution

The fourth proportional to 296,481.43, 409,144.11 and 160,516.55 is: 221,512.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,481.43 : 409,144.11 = 160,516.55 : x
  2. Step 2: Convert to fraction form
    296,481.43/409,144.11 = 160,516.55/x
  3. Step 3: Cross multiply
    296,481.43x = 409,144.11 × 160,516.55
  4. Step 4: Simplify right side
    296,481.43x = 65,674,400,990.02
  5. Step 5: Solve for x
    x = 65,674,400,990.02/296,481.43
  6. Step 6: Final answer
    x = 221,512.70

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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.