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Finding the Fourth Proportional to 619,410.42, 928,488.12 and 419,751

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Solution

The fourth proportional to 619,410.42, 928,488.12 and 419,751 is: 629,201.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,410.42 : 928,488.12 = 419,751 : x
  2. Step 2: Convert to fraction form
    619,410.42/928,488.12 = 419,751/x
  3. Step 3: Cross multiply
    619,410.42x = 928,488.12 × 419,751
  4. Step 4: Simplify right side
    619,410.42x = 389,733,816,858.12
  5. Step 5: Solve for x
    x = 389,733,816,858.12/619,410.42
  6. Step 6: Final answer
    x = 629,201.26

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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.