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Finding the Fourth Proportional to 539,750.70, 809,107.65 and 419,741.10

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Solution

The fourth proportional to 539,750.70, 809,107.65 and 419,741.10 is: 629,208.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,750.70 : 809,107.65 = 419,741.10 : x
  2. Step 2: Convert to fraction form
    539,750.70/809,107.65 = 419,741.10/x
  3. Step 3: Cross multiply
    539,750.70x = 809,107.65 × 419,741.10
  4. Step 4: Simplify right side
    539,750.70x = 339,615,735,029.42
  5. Step 5: Solve for x
    x = 339,615,735,029.42/539,750.70
  6. Step 6: Final answer
    x = 629,208.51

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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.