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Finding the Fourth Proportional to 299,087.46, 412,729.29 and 164,951.46

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Solution

The fourth proportional to 299,087.46, 412,729.29 and 164,951.46 is: 227,626.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,087.46 : 412,729.29 = 164,951.46 : x
  2. Step 2: Convert to fraction form
    299,087.46/412,729.29 = 164,951.46/x
  3. Step 3: Cross multiply
    299,087.46x = 412,729.29 × 164,951.46
  4. Step 4: Simplify right side
    299,087.46x = 68,080,298,970.26
  5. Step 5: Solve for x
    x = 68,080,298,970.26/299,087.46
  6. Step 6: Final answer
    x = 227,626.72

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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.