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Finding the Fourth Proportional to 451,944.42, 677,090.43 and 211,617.42

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Solution

The fourth proportional to 451,944.42, 677,090.43 and 211,617.42 is: 317,039.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,944.42 : 677,090.43 = 211,617.42 : x
  2. Step 2: Convert to fraction form
    451,944.42/677,090.43 = 211,617.42/x
  3. Step 3: Cross multiply
    451,944.42x = 677,090.43 × 211,617.42
  4. Step 4: Simplify right side
    451,944.42x = 143,284,129,903.29
  5. Step 5: Solve for x
    x = 143,284,129,903.29/451,944.42
  6. Step 6: Final answer
    x = 317,039.27

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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.