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Finding the Fourth Proportional to 299,427.60, 449,141.40 and 277,776.30

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Solution

The fourth proportional to 299,427.60, 449,141.40 and 277,776.30 is: 416,664.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,427.60 : 449,141.40 = 277,776.30 : x
  2. Step 2: Convert to fraction form
    299,427.60/449,141.40 = 277,776.30/x
  3. Step 3: Cross multiply
    299,427.60x = 449,141.40 × 277,776.30
  4. Step 4: Simplify right side
    299,427.60x = 124,760,836,268.82
  5. Step 5: Solve for x
    x = 124,760,836,268.82/299,427.60
  6. Step 6: Final answer
    x = 416,664.45

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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.