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Finding the Fourth Proportional to 299,087.21, 412,728.94 and 164,951.21

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Solution

The fourth proportional to 299,087.21, 412,728.94 and 164,951.21 is: 227,626.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,087.21 : 412,728.94 = 164,951.21 : x
  2. Step 2: Convert to fraction form
    299,087.21/412,728.94 = 164,951.21/x
  3. Step 3: Cross multiply
    299,087.21x = 412,728.94 × 164,951.21
  4. Step 4: Simplify right side
    299,087.21x = 68,080,138,055.02
  5. Step 5: Solve for x
    x = 68,080,138,055.02/299,087.21
  6. Step 6: Final answer
    x = 227,626.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.