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Finding the Fourth Proportional to 685,922.80, 946,258.32 and 444,286

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Solution

The fourth proportional to 685,922.80, 946,258.32 and 444,286 is: 612,910.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,922.80 : 946,258.32 = 444,286 : x
  2. Step 2: Convert to fraction form
    685,922.80/946,258.32 = 444,286/x
  3. Step 3: Cross multiply
    685,922.80x = 946,258.32 × 444,286
  4. Step 4: Simplify right side
    685,922.80x = 420,409,323,959.52
  5. Step 5: Solve for x
    x = 420,409,323,959.52/685,922.80
  6. Step 6: Final answer
    x = 612,910.55

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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.