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Finding the Fourth Proportional to 481,581.94, 663,952.86 and 414,321.37

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Solution

The fourth proportional to 481,581.94, 663,952.86 and 414,321.37 is: 571,221.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,581.94 : 663,952.86 = 414,321.37 : x
  2. Step 2: Convert to fraction form
    481,581.94/663,952.86 = 414,321.37/x
  3. Step 3: Cross multiply
    481,581.94x = 663,952.86 × 414,321.37
  4. Step 4: Simplify right side
    481,581.94x = 275,089,858,570.62
  5. Step 5: Solve for x
    x = 275,089,858,570.62/481,581.94
  6. Step 6: Final answer
    x = 571,221.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.