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Finding the Fourth Proportional to 619,442.20, 928,535.70 and 419,782.60

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Solution

The fourth proportional to 619,442.20, 928,535.70 and 419,782.60 is: 629,248.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,442.20 : 928,535.70 = 419,782.60 : x
  2. Step 2: Convert to fraction form
    619,442.20/928,535.70 = 419,782.60/x
  3. Step 3: Cross multiply
    619,442.20x = 928,535.70 × 419,782.60
  4. Step 4: Simplify right side
    619,442.20x = 389,783,130,338.82
  5. Step 5: Solve for x
    x = 389,783,130,338.82/619,442.20
  6. Step 6: Final answer
    x = 629,248.59

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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.