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Finding the Fourth Proportional to 256,856.40, 385,284.60 and 185,997.60

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Solution

The fourth proportional to 256,856.40, 385,284.60 and 185,997.60 is: 278,996.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,856.40 : 385,284.60 = 185,997.60 : x
  2. Step 2: Convert to fraction form
    256,856.40/385,284.60 = 185,997.60/x
  3. Step 3: Cross multiply
    256,856.40x = 385,284.60 × 185,997.60
  4. Step 4: Simplify right side
    256,856.40x = 71,662,010,916.96
  5. Step 5: Solve for x
    x = 71,662,010,916.96/256,856.40
  6. Step 6: Final answer
    x = 278,996.40

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Similar ratio
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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.