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Finding the Fourth Proportional to 256,224.40, 383,818.20 and 177,427.60

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Solution

The fourth proportional to 256,224.40, 383,818.20 and 177,427.60 is: 265,782.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,224.40 : 383,818.20 = 177,427.60 : x
  2. Step 2: Convert to fraction form
    256,224.40/383,818.20 = 177,427.60/x
  3. Step 3: Cross multiply
    256,224.40x = 383,818.20 × 177,427.60
  4. Step 4: Simplify right side
    256,224.40x = 68,099,942,062.32
  5. Step 5: Solve for x
    x = 68,099,942,062.32/256,224.40
  6. Step 6: Final answer
    x = 265,782.42

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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.