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Finding the Fourth Proportional to 619,874.40, 929,811.60 and 419,107.80

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Solution

The fourth proportional to 619,874.40, 929,811.60 and 419,107.80 is: 628,661.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,874.40 : 929,811.60 = 419,107.80 : x
  2. Step 2: Convert to fraction form
    619,874.40/929,811.60 = 419,107.80/x
  3. Step 3: Cross multiply
    619,874.40x = 929,811.60 × 419,107.80
  4. Step 4: Simplify right side
    619,874.40x = 389,691,294,090.48
  5. Step 5: Solve for x
    x = 389,691,294,090.48/619,874.40
  6. Step 6: Final answer
    x = 628,661.70

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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.