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Finding the Fourth Proportional to 256,114.30, 384,171.45 and 193,906.30

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Solution

The fourth proportional to 256,114.30, 384,171.45 and 193,906.30 is: 290,859.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,114.30 : 384,171.45 = 193,906.30 : x
  2. Step 2: Convert to fraction form
    256,114.30/384,171.45 = 193,906.30/x
  3. Step 3: Cross multiply
    256,114.30x = 384,171.45 × 193,906.30
  4. Step 4: Simplify right side
    256,114.30x = 74,493,264,435.14
  5. Step 5: Solve for x
    x = 74,493,264,435.14/256,114.30
  6. Step 6: Final answer
    x = 290,859.45

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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.