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Finding the Fourth Proportional to 466,840.90, 699,707.70 and 419,232.60

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Solution

The fourth proportional to 466,840.90, 699,707.70 and 419,232.60 is: 628,351.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,840.90 : 699,707.70 = 419,232.60 : x
  2. Step 2: Convert to fraction form
    466,840.90/699,707.70 = 419,232.60/x
  3. Step 3: Cross multiply
    466,840.90x = 699,707.70 × 419,232.60
  4. Step 4: Simplify right side
    466,840.90x = 293,340,278,311.02
  5. Step 5: Solve for x
    x = 293,340,278,311.02/466,840.90
  6. Step 6: Final answer
    x = 628,351.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.