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Finding the Fourth Proportional to 325,408.40, 488,404.20 and 281,085.20

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Solution

The fourth proportional to 325,408.40, 488,404.20 and 281,085.20 is: 421,879.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,408.40 : 488,404.20 = 281,085.20 : x
  2. Step 2: Convert to fraction form
    325,408.40/488,404.20 = 281,085.20/x
  3. Step 3: Cross multiply
    325,408.40x = 488,404.20 × 281,085.20
  4. Step 4: Simplify right side
    325,408.40x = 137,283,192,237.84
  5. Step 5: Solve for x
    x = 137,283,192,237.84/325,408.40
  6. Step 6: Final answer
    x = 421,879.68

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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.