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Finding the Fourth Proportional to 429,400.10, 644,100.15 and 419,558.60

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Solution

The fourth proportional to 429,400.10, 644,100.15 and 419,558.60 is: 629,337.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,400.10 : 644,100.15 = 419,558.60 : x
  2. Step 2: Convert to fraction form
    429,400.10/644,100.15 = 419,558.60/x
  3. Step 3: Cross multiply
    429,400.10x = 644,100.15 × 419,558.60
  4. Step 4: Simplify right side
    429,400.10x = 270,237,757,193.79
  5. Step 5: Solve for x
    x = 270,237,757,193.79/429,400.10
  6. Step 6: Final answer
    x = 629,337.90

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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.