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Finding the Fourth Proportional to 297,961.88, 411,187.46 and 163,825.88

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Solution

The fourth proportional to 297,961.88, 411,187.46 and 163,825.88 is: 226,079.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,961.88 : 411,187.46 = 163,825.88 : x
  2. Step 2: Convert to fraction form
    297,961.88/411,187.46 = 163,825.88/x
  3. Step 3: Cross multiply
    297,961.88x = 411,187.46 × 163,825.88
  4. Step 4: Simplify right side
    297,961.88x = 67,363,144,604.40
  5. Step 5: Solve for x
    x = 67,363,144,604.40/297,961.88
  6. Step 6: Final answer
    x = 226,079.74

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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.