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Finding the Fourth Proportional to 256,171.40, 384,257.10 and 162,744.20

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Solution

The fourth proportional to 256,171.40, 384,257.10 and 162,744.20 is: 244,116.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,171.40 : 384,257.10 = 162,744.20 : x
  2. Step 2: Convert to fraction form
    256,171.40/384,257.10 = 162,744.20/x
  3. Step 3: Cross multiply
    256,171.40x = 384,257.10 × 162,744.20
  4. Step 4: Simplify right side
    256,171.40x = 62,535,614,333.82
  5. Step 5: Solve for x
    x = 62,535,614,333.82/256,171.40
  6. Step 6: Final answer
    x = 244,116.30

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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.