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Finding the Fourth Proportional to 397,167.50, 548,355.09 and 305,122.86

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Solution

The fourth proportional to 397,167.50, 548,355.09 and 305,122.86 is: 421,272.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,167.50 : 548,355.09 = 305,122.86 : x
  2. Step 2: Convert to fraction form
    397,167.50/548,355.09 = 305,122.86/x
  3. Step 3: Cross multiply
    397,167.50x = 548,355.09 × 305,122.86
  4. Step 4: Simplify right side
    397,167.50x = 167,315,675,528.73
  5. Step 5: Solve for x
    x = 167,315,675,528.73/397,167.50
  6. Step 6: Final answer
    x = 421,272.32

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