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Finding the Fourth Proportional to 685,287, 1,027,930.50 and 186,651

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Solution

The fourth proportional to 685,287, 1,027,930.50 and 186,651 is: 279,976.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,287 : 1,027,930.50 = 186,651 : x
  2. Step 2: Convert to fraction form
    685,287/1,027,930.50 = 186,651/x
  3. Step 3: Cross multiply
    685,287x = 1,027,930.50 × 186,651
  4. Step 4: Simplify right side
    685,287x = 191,864,255,755.50
  5. Step 5: Solve for x
    x = 191,864,255,755.50/685,287
  6. Step 6: Final answer
    x = 279,976.50

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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.