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Finding the Fourth Proportional to 685,696.56, 946,360.44 and 383,910

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Solution

The fourth proportional to 685,696.56, 946,360.44 and 383,910 is: 529,851.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,696.56 : 946,360.44 = 383,910 : x
  2. Step 2: Convert to fraction form
    685,696.56/946,360.44 = 383,910/x
  3. Step 3: Cross multiply
    685,696.56x = 946,360.44 × 383,910
  4. Step 4: Simplify right side
    685,696.56x = 363,317,236,520.40
  5. Step 5: Solve for x
    x = 363,317,236,520.40/685,696.56
  6. Step 6: Final answer
    x = 529,851.33

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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.