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Finding the Fourth Proportional to 701,135.43, 967,351.80 and 428,919.54

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Solution

The fourth proportional to 701,135.43, 967,351.80 and 428,919.54 is: 591,777.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,135.43 : 967,351.80 = 428,919.54 : x
  2. Step 2: Convert to fraction form
    701,135.43/967,351.80 = 428,919.54/x
  3. Step 3: Cross multiply
    701,135.43x = 967,351.80 × 428,919.54
  4. Step 4: Simplify right side
    701,135.43x = 414,916,089,074.17
  5. Step 5: Solve for x
    x = 414,916,089,074.17/701,135.43
  6. Step 6: Final answer
    x = 591,777.38

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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.