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Finding the Fourth Proportional to 685,806, 946,193.60 and 444,273.76

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Solution

The fourth proportional to 685,806, 946,193.60 and 444,273.76 is: 612,956.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,806 : 946,193.60 = 444,273.76 : x
  2. Step 2: Convert to fraction form
    685,806/946,193.60 = 444,273.76/x
  3. Step 3: Cross multiply
    685,806x = 946,193.60 × 444,273.76
  4. Step 4: Simplify right side
    685,806x = 420,368,988,359.94
  5. Step 5: Solve for x
    x = 420,368,988,359.94/685,806
  6. Step 6: Final answer
    x = 612,956.13

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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.