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Finding the Fourth Proportional to 421,408.88, 581,540.20 and 230,420.24

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Solution

The fourth proportional to 421,408.88, 581,540.20 and 230,420.24 is: 317,977.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,408.88 : 581,540.20 = 230,420.24 : x
  2. Step 2: Convert to fraction form
    421,408.88/581,540.20 = 230,420.24/x
  3. Step 3: Cross multiply
    421,408.88x = 581,540.20 × 230,420.24
  4. Step 4: Simplify right side
    421,408.88x = 133,998,632,453.65
  5. Step 5: Solve for x
    x = 133,998,632,453.65/421,408.88
  6. Step 6: Final answer
    x = 317,977.71

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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.