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Finding the Fourth Proportional to 256,982.64, 384,774.12 and 199,858.20

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Solution

The fourth proportional to 256,982.64, 384,774.12 and 199,858.20 is: 299,243.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,982.64 : 384,774.12 = 199,858.20 : x
  2. Step 2: Convert to fraction form
    256,982.64/384,774.12 = 199,858.20/x
  3. Step 3: Cross multiply
    256,982.64x = 384,774.12 × 199,858.20
  4. Step 4: Simplify right side
    256,982.64x = 76,900,263,029.78
  5. Step 5: Solve for x
    x = 76,900,263,029.78/256,982.64
  6. Step 6: Final answer
    x = 299,243.03

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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.