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Finding the Fourth Proportional to 297,695, 410,845.02 and 163,584.92

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Solution

The fourth proportional to 297,695, 410,845.02 and 163,584.92 is: 225,761.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,695 : 410,845.02 = 163,584.92 : x
  2. Step 2: Convert to fraction form
    297,695/410,845.02 = 163,584.92/x
  3. Step 3: Cross multiply
    297,695x = 410,845.02 × 163,584.92
  4. Step 4: Simplify right side
    297,695x = 67,208,049,729.10
  5. Step 5: Solve for x
    x = 67,208,049,729.10/297,695
  6. Step 6: Final answer
    x = 225,761.43

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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.