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Finding the Fourth Proportional to 256,512.80, 384,331.80 and 218,896.40

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Solution

The fourth proportional to 256,512.80, 384,331.80 and 218,896.40 is: 327,971.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,512.80 : 384,331.80 = 218,896.40 : x
  2. Step 2: Convert to fraction form
    256,512.80/384,331.80 = 218,896.40/x
  3. Step 3: Cross multiply
    256,512.80x = 384,331.80 × 218,896.40
  4. Step 4: Simplify right side
    256,512.80x = 84,128,847,425.52
  5. Step 5: Solve for x
    x = 84,128,847,425.52/256,512.80
  6. Step 6: Final answer
    x = 327,971.34

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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.