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Finding the Fourth Proportional to 685,769.76, 946,824.71 and 428,039.33

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Solution

The fourth proportional to 685,769.76, 946,824.71 and 428,039.33 is: 590,982.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,769.76 : 946,824.71 = 428,039.33 : x
  2. Step 2: Convert to fraction form
    685,769.76/946,824.71 = 428,039.33/x
  3. Step 3: Cross multiply
    685,769.76x = 946,824.71 × 428,039.33
  4. Step 4: Simplify right side
    685,769.76x = 405,278,207,621.52
  5. Step 5: Solve for x
    x = 405,278,207,621.52/685,769.76
  6. Step 6: Final answer
    x = 590,982.91

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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.