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Finding the Fourth Proportional to 256,005.14, 384,340.36 and 196,882.70

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Solution

The fourth proportional to 256,005.14, 384,340.36 and 196,882.70 is: 295,579.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,005.14 : 384,340.36 = 196,882.70 : x
  2. Step 2: Convert to fraction form
    256,005.14/384,340.36 = 196,882.70/x
  3. Step 3: Cross multiply
    256,005.14x = 384,340.36 × 196,882.70
  4. Step 4: Simplify right side
    256,005.14x = 75,669,967,795.77
  5. Step 5: Solve for x
    x = 75,669,967,795.77/256,005.14
  6. Step 6: Final answer
    x = 295,579.88

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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.