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Finding the Fourth Proportional to 299,087.84, 412,729.80 and 164,951.84

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Solution

The fourth proportional to 299,087.84, 412,729.80 and 164,951.84 is: 227,627.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,087.84 : 412,729.80 = 164,951.84 : x
  2. Step 2: Convert to fraction form
    299,087.84/412,729.80 = 164,951.84/x
  3. Step 3: Cross multiply
    299,087.84x = 412,729.80 × 164,951.84
  4. Step 4: Simplify right side
    299,087.84x = 68,080,537,869.18
  5. Step 5: Solve for x
    x = 68,080,537,869.18/299,087.84
  6. Step 6: Final answer
    x = 227,627.24

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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.