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Finding the Fourth Proportional to 455,830.80, 682,762.05 and 396,781.80

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Solution

The fourth proportional to 455,830.80, 682,762.05 and 396,781.80 is: 594,316.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,830.80 : 682,762.05 = 396,781.80 : x
  2. Step 2: Convert to fraction form
    455,830.80/682,762.05 = 396,781.80/x
  3. Step 3: Cross multiply
    455,830.80x = 682,762.05 × 396,781.80
  4. Step 4: Simplify right side
    455,830.80x = 270,907,555,170.69
  5. Step 5: Solve for x
    x = 270,907,555,170.69/455,830.80
  6. Step 6: Final answer
    x = 594,316.04

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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.