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Finding the Fourth Proportional to 463,200.84, 694,083.87 and 321,322.05

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Solution

The fourth proportional to 463,200.84, 694,083.87 and 321,322.05 is: 481,485.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,200.84 : 694,083.87 = 321,322.05 : x
  2. Step 2: Convert to fraction form
    463,200.84/694,083.87 = 321,322.05/x
  3. Step 3: Cross multiply
    463,200.84x = 694,083.87 × 321,322.05
  4. Step 4: Simplify right side
    463,200.84x = 223,024,451,980.33
  5. Step 5: Solve for x
    x = 223,024,451,980.33/463,200.84
  6. Step 6: Final answer
    x = 481,485.42

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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.