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Finding the Fourth Proportional to 685,794, 946,177.02 and 444,261.72

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Solution

The fourth proportional to 685,794, 946,177.02 and 444,261.72 is: 612,939.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,794 : 946,177.02 = 444,261.72 : x
  2. Step 2: Convert to fraction form
    685,794/946,177.02 = 444,261.72/x
  3. Step 3: Cross multiply
    685,794x = 946,177.02 × 444,261.72
  4. Step 4: Simplify right side
    685,794x = 420,350,230,329.67
  5. Step 5: Solve for x
    x = 420,350,230,329.67/685,794
  6. Step 6: Final answer
    x = 612,939.50

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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.