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Finding the Fourth Proportional to 256,151.70, 384,227.55 and 171,952.20

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Solution

The fourth proportional to 256,151.70, 384,227.55 and 171,952.20 is: 257,928.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,151.70 : 384,227.55 = 171,952.20 : x
  2. Step 2: Convert to fraction form
    256,151.70/384,227.55 = 171,952.20/x
  3. Step 3: Cross multiply
    256,151.70x = 384,227.55 × 171,952.20
  4. Step 4: Simplify right side
    256,151.70x = 66,068,772,523.11
  5. Step 5: Solve for x
    x = 66,068,772,523.11/256,151.70
  6. Step 6: Final answer
    x = 257,928.30

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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.