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Finding the Fourth Proportional to 685,389.57, 945,706.38 and 443,638.59

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Solution

The fourth proportional to 685,389.57, 945,706.38 and 443,638.59 is: 612,136.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,389.57 : 945,706.38 = 443,638.59 : x
  2. Step 2: Convert to fraction form
    685,389.57/945,706.38 = 443,638.59/x
  3. Step 3: Cross multiply
    685,389.57x = 945,706.38 × 443,638.59
  4. Step 4: Simplify right side
    685,389.57x = 419,551,844,977.20
  5. Step 5: Solve for x
    x = 419,551,844,977.20/685,389.57
  6. Step 6: Final answer
    x = 612,136.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.