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Finding the Fourth Proportional to 505,074.80, 756,229.80 and 394,482.80

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Solution

The fourth proportional to 505,074.80, 756,229.80 and 394,482.80 is: 590,644.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,074.80 : 756,229.80 = 394,482.80 : x
  2. Step 2: Convert to fraction form
    505,074.80/756,229.80 = 394,482.80/x
  3. Step 3: Cross multiply
    505,074.80x = 756,229.80 × 394,482.80
  4. Step 4: Simplify right side
    505,074.80x = 298,319,648,947.44
  5. Step 5: Solve for x
    x = 298,319,648,947.44/505,074.80
  6. Step 6: Final answer
    x = 590,644.49

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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.