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Finding the Fourth Proportional to 299,222.57, 412,912.62 and 163,248.41

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Solution

The fourth proportional to 299,222.57, 412,912.62 and 163,248.41 is: 225,274.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,222.57 : 412,912.62 = 163,248.41 : x
  2. Step 2: Convert to fraction form
    299,222.57/412,912.62 = 163,248.41/x
  3. Step 3: Cross multiply
    299,222.57x = 412,912.62 × 163,248.41
  4. Step 4: Simplify right side
    299,222.57x = 67,407,329,716.22
  5. Step 5: Solve for x
    x = 67,407,329,716.22/299,222.57
  6. Step 6: Final answer
    x = 225,274.88

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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.