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Finding the Fourth Proportional to 356,418.12, 491,920.38 and 213,193.92

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Solution

The fourth proportional to 356,418.12, 491,920.38 and 213,193.92 is: 294,245.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,418.12 : 491,920.38 = 213,193.92 : x
  2. Step 2: Convert to fraction form
    356,418.12/491,920.38 = 213,193.92/x
  3. Step 3: Cross multiply
    356,418.12x = 491,920.38 × 213,193.92
  4. Step 4: Simplify right side
    356,418.12x = 104,874,434,140.09
  5. Step 5: Solve for x
    x = 104,874,434,140.09/356,418.12
  6. Step 6: Final answer
    x = 294,245.52

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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.