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Finding the Fourth Proportional to 289,857.28, 434,786.16 and 233,432.80

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Solution

The fourth proportional to 289,857.28, 434,786.16 and 233,432.80 is: 350,149.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,857.28 : 434,786.16 = 233,432.80 : x
  2. Step 2: Convert to fraction form
    289,857.28/434,786.16 = 233,432.80/x
  3. Step 3: Cross multiply
    289,857.28x = 434,786.16 × 233,432.80
  4. Step 4: Simplify right side
    289,857.28x = 101,493,350,730.05
  5. Step 5: Solve for x
    x = 101,493,350,730.05/289,857.28
  6. Step 6: Final answer
    x = 350,149.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.