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Finding the Fourth Proportional to 256,896.29, 354,855.74 and 197,204.56

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Solution

The fourth proportional to 256,896.29, 354,855.74 and 197,204.56 is: 272,402.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,896.29 : 354,855.74 = 197,204.56 : x
  2. Step 2: Convert to fraction form
    256,896.29/354,855.74 = 197,204.56/x
  3. Step 3: Cross multiply
    256,896.29x = 354,855.74 × 197,204.56
  4. Step 4: Simplify right side
    256,896.29x = 69,979,168,197.01
  5. Step 5: Solve for x
    x = 69,979,168,197.01/256,896.29
  6. Step 6: Final answer
    x = 272,402.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.