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Finding the Fourth Proportional to 296,047.27, 408,591.32 and 194,367.68

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Solution

The fourth proportional to 296,047.27, 408,591.32 and 194,367.68 is: 268,257.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,047.27 : 408,591.32 = 194,367.68 : x
  2. Step 2: Convert to fraction form
    296,047.27/408,591.32 = 194,367.68/x
  3. Step 3: Cross multiply
    296,047.27x = 408,591.32 × 194,367.68
  4. Step 4: Simplify right side
    296,047.27x = 79,416,946,936.54
  5. Step 5: Solve for x
    x = 79,416,946,936.54/296,047.27
  6. Step 6: Final answer
    x = 268,257.66

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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.