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Finding the Fourth Proportional to 256,218.60, 384,327.90 and 162,906.60

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Solution

The fourth proportional to 256,218.60, 384,327.90 and 162,906.60 is: 244,359.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,218.60 : 384,327.90 = 162,906.60 : x
  2. Step 2: Convert to fraction form
    256,218.60/384,327.90 = 162,906.60/x
  3. Step 3: Cross multiply
    256,218.60x = 384,327.90 × 162,906.60
  4. Step 4: Simplify right side
    256,218.60x = 62,609,551,474.14
  5. Step 5: Solve for x
    x = 62,609,551,474.14/256,218.60
  6. Step 6: Final answer
    x = 244,359.90

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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.