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Finding the Fourth Proportional to 299,475.60, 449,213.40 and 277,824.30

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Solution

The fourth proportional to 299,475.60, 449,213.40 and 277,824.30 is: 416,736.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,475.60 : 449,213.40 = 277,824.30 : x
  2. Step 2: Convert to fraction form
    299,475.60/449,213.40 = 277,824.30/x
  3. Step 3: Cross multiply
    299,475.60x = 449,213.40 × 277,824.30
  4. Step 4: Simplify right side
    299,475.60x = 124,802,398,405.62
  5. Step 5: Solve for x
    x = 124,802,398,405.62/299,475.60
  6. Step 6: Final answer
    x = 416,736.45

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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.