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Finding the Fourth Proportional to 356,190, 491,542.20 and 205,296.72

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Solution

The fourth proportional to 356,190, 491,542.20 and 205,296.72 is: 283,309.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,190 : 491,542.20 = 205,296.72 : x
  2. Step 2: Convert to fraction form
    356,190/491,542.20 = 205,296.72/x
  3. Step 3: Cross multiply
    356,190x = 491,542.20 × 205,296.72
  4. Step 4: Simplify right side
    356,190x = 100,912,001,401.58
  5. Step 5: Solve for x
    x = 100,912,001,401.58/356,190
  6. Step 6: Final answer
    x = 283,309.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.