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Finding the Fourth Proportional to 455,231.40, 682,847.10 and 455,231.40

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Solution

The fourth proportional to 455,231.40, 682,847.10 and 455,231.40 is: 682,847.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,231.40 : 682,847.10 = 455,231.40 : x
  2. Step 2: Convert to fraction form
    455,231.40/682,847.10 = 455,231.40/x
  3. Step 3: Cross multiply
    455,231.40x = 682,847.10 × 455,231.40
  4. Step 4: Simplify right side
    455,231.40x = 310,853,441,318.94
  5. Step 5: Solve for x
    x = 310,853,441,318.94/455,231.40
  6. Step 6: Final answer
    x = 682,847.10

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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.