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Finding the Fourth Proportional to 458,218.26, 687,546.09 and 221,429.34

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Solution

The fourth proportional to 458,218.26, 687,546.09 and 221,429.34 is: 332,249.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,218.26 : 687,546.09 = 221,429.34 : x
  2. Step 2: Convert to fraction form
    458,218.26/687,546.09 = 221,429.34/x
  3. Step 3: Cross multiply
    458,218.26x = 687,546.09 × 221,429.34
  4. Step 4: Simplify right side
    458,218.26x = 152,242,876,928.28
  5. Step 5: Solve for x
    x = 152,242,876,928.28/458,218.26
  6. Step 6: Final answer
    x = 332,249.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.