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Finding the Fourth Proportional to 356,354.37, 491,770.58 and 195,205.95

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Solution

The fourth proportional to 356,354.37, 491,770.58 and 195,205.95 is: 269,385.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,354.37 : 491,770.58 = 195,205.95 : x
  2. Step 2: Convert to fraction form
    356,354.37/491,770.58 = 195,205.95/x
  3. Step 3: Cross multiply
    356,354.37x = 491,770.58 × 195,205.95
  4. Step 4: Simplify right side
    356,354.37x = 95,996,542,274.92
  5. Step 5: Solve for x
    x = 95,996,542,274.92/356,354.37
  6. Step 6: Final answer
    x = 269,385.06

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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.