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Finding the Fourth Proportional to 296,190.28, 408,732.42 and 168,906.84

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Solution

The fourth proportional to 296,190.28, 408,732.42 and 168,906.84 is: 233,085.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,190.28 : 408,732.42 = 168,906.84 : x
  2. Step 2: Convert to fraction form
    296,190.28/408,732.42 = 168,906.84/x
  3. Step 3: Cross multiply
    296,190.28x = 408,732.42 × 168,906.84
  4. Step 4: Simplify right side
    296,190.28x = 69,037,701,467.75
  5. Step 5: Solve for x
    x = 69,037,701,467.75/296,190.28
  6. Step 6: Final answer
    x = 233,085.64

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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.