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Finding the Fourth Proportional to 296,096.46, 408,611.94 and 160,130.56

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Solution

The fourth proportional to 296,096.46, 408,611.94 and 160,130.56 is: 220,979.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,096.46 : 408,611.94 = 160,130.56 : x
  2. Step 2: Convert to fraction form
    296,096.46/408,611.94 = 160,130.56/x
  3. Step 3: Cross multiply
    296,096.46x = 408,611.94 × 160,130.56
  4. Step 4: Simplify right side
    296,096.46x = 65,431,258,245.14
  5. Step 5: Solve for x
    x = 65,431,258,245.14/296,096.46
  6. Step 6: Final answer
    x = 220,979.53

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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.