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Finding the Fourth Proportional to 274,503.83, 411,788.94 and 96,974.51

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Solution

The fourth proportional to 274,503.83, 411,788.94 and 96,974.51 is: 145,473.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,503.83 : 411,788.94 = 96,974.51 : x
  2. Step 2: Convert to fraction form
    274,503.83/411,788.94 = 96,974.51/x
  3. Step 3: Cross multiply
    274,503.83x = 411,788.94 × 96,974.51
  4. Step 4: Simplify right side
    274,503.83x = 39,933,028,620.97
  5. Step 5: Solve for x
    x = 39,933,028,620.97/274,503.83
  6. Step 6: Final answer
    x = 145,473.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.