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Finding the Fourth Proportional to 619,391.12, 928,459.24 and 419,731.68

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Solution

The fourth proportional to 619,391.12, 928,459.24 and 419,731.68 is: 629,172.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,391.12 : 928,459.24 = 419,731.68 : x
  2. Step 2: Convert to fraction form
    619,391.12/928,459.24 = 419,731.68/x
  3. Step 3: Cross multiply
    619,391.12x = 928,459.24 × 419,731.68
  4. Step 4: Simplify right side
    619,391.12x = 389,703,756,616.72
  5. Step 5: Solve for x
    x = 389,703,756,616.72/619,391.12
  6. Step 6: Final answer
    x = 629,172.33

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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.