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Finding the Fourth Proportional to 454,967.40, 682,451.10 and 403,791.60

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Solution

The fourth proportional to 454,967.40, 682,451.10 and 403,791.60 is: 605,687.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,967.40 : 682,451.10 = 403,791.60 : x
  2. Step 2: Convert to fraction form
    454,967.40/682,451.10 = 403,791.60/x
  3. Step 3: Cross multiply
    454,967.40x = 682,451.10 × 403,791.60
  4. Step 4: Simplify right side
    454,967.40x = 275,568,021,590.76
  5. Step 5: Solve for x
    x = 275,568,021,590.76/454,967.40
  6. Step 6: Final answer
    x = 605,687.40

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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.