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Finding the Fourth Proportional to 256,007.64, 384,344.10 and 196,885.20

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Solution

The fourth proportional to 256,007.64, 384,344.10 and 196,885.20 is: 295,583.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,007.64 : 384,344.10 = 196,885.20 : x
  2. Step 2: Convert to fraction form
    256,007.64/384,344.10 = 196,885.20/x
  3. Step 3: Cross multiply
    256,007.64x = 384,344.10 × 196,885.20
  4. Step 4: Simplify right side
    256,007.64x = 75,671,664,997.32
  5. Step 5: Solve for x
    x = 75,671,664,997.32/256,007.64
  6. Step 6: Final answer
    x = 295,583.62

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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.