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Finding the Fourth Proportional to 619,405.14, 928,480.23 and 419,745.72

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Solution

The fourth proportional to 619,405.14, 928,480.23 and 419,745.72 is: 629,193.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,405.14 : 928,480.23 = 419,745.72 : x
  2. Step 2: Convert to fraction form
    619,405.14/928,480.23 = 419,745.72/x
  3. Step 3: Cross multiply
    619,405.14x = 928,480.23 × 419,745.72
  4. Step 4: Simplify right side
    619,405.14x = 389,725,602,647.12
  5. Step 5: Solve for x
    x = 389,725,602,647.12/619,405.14
  6. Step 6: Final answer
    x = 629,193.36

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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.