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Finding the Fourth Proportional to 256,096.40, 384,490.20 and 162,784.40

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Solution

The fourth proportional to 256,096.40, 384,490.20 and 162,784.40 is: 244,396.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,096.40 : 384,490.20 = 162,784.40 : x
  2. Step 2: Convert to fraction form
    256,096.40/384,490.20 = 162,784.40/x
  3. Step 3: Cross multiply
    256,096.40x = 384,490.20 × 162,784.40
  4. Step 4: Simplify right side
    256,096.40x = 62,589,006,512.88
  5. Step 5: Solve for x
    x = 62,589,006,512.88/256,096.40
  6. Step 6: Final answer
    x = 244,396.28

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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.