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Finding the Fourth Proportional to 685,813.41, 946,217.75 and 443,712.51

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Solution

The fourth proportional to 685,813.41, 946,217.75 and 443,712.51 is: 612,190.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,813.41 : 946,217.75 = 443,712.51 : x
  2. Step 2: Convert to fraction form
    685,813.41/946,217.75 = 443,712.51/x
  3. Step 3: Cross multiply
    685,813.41x = 946,217.75 × 443,712.51
  4. Step 4: Simplify right side
    685,813.41x = 419,848,650,640.49
  5. Step 5: Solve for x
    x = 419,848,650,640.49/685,813.41
  6. Step 6: Final answer
    x = 612,190.79

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1.5x scale

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.