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Finding the Fourth Proportional to 299,727.60, 449,203.84 and 224,255.59

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Solution

The fourth proportional to 299,727.60, 449,203.84 and 224,255.59 is: 336,093.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,727.60 : 449,203.84 = 224,255.59 : x
  2. Step 2: Convert to fraction form
    299,727.60/449,203.84 = 224,255.59/x
  3. Step 3: Cross multiply
    299,727.60x = 449,203.84 × 224,255.59
  4. Step 4: Simplify right side
    299,727.60x = 100,736,470,485.82
  5. Step 5: Solve for x
    x = 100,736,470,485.82/299,727.60
  6. Step 6: Final answer
    x = 336,093.41

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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.