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Finding the Fourth Proportional to 256,983.64, 384,775.62 and 199,859.20

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Solution

The fourth proportional to 256,983.64, 384,775.62 and 199,859.20 is: 299,244.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,983.64 : 384,775.62 = 199,859.20 : x
  2. Step 2: Convert to fraction form
    256,983.64/384,775.62 = 199,859.20/x
  3. Step 3: Cross multiply
    256,983.64x = 384,775.62 × 199,859.20
  4. Step 4: Simplify right side
    256,983.64x = 76,900,947,592.70
  5. Step 5: Solve for x
    x = 76,900,947,592.70/256,983.64
  6. Step 6: Final answer
    x = 299,244.53

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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.