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Finding the Fourth Proportional to 296,193.28, 408,736.56 and 168,909.84

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Solution

The fourth proportional to 296,193.28, 408,736.56 and 168,909.84 is: 233,089.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,193.28 : 408,736.56 = 168,909.84 : x
  2. Step 2: Convert to fraction form
    296,193.28/408,736.56 = 168,909.84/x
  3. Step 3: Cross multiply
    296,193.28x = 408,736.56 × 168,909.84
  4. Step 4: Simplify right side
    296,193.28x = 69,039,626,951.75
  5. Step 5: Solve for x
    x = 69,039,626,951.75/296,193.28
  6. Step 6: Final answer
    x = 233,089.78

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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.