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Finding the Fourth Proportional to 331,137.20, 496,809.48 and 212,942

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Solution

The fourth proportional to 331,137.20, 496,809.48 and 212,942 is: 319,479.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,137.20 : 496,809.48 = 212,942 : x
  2. Step 2: Convert to fraction form
    331,137.20/496,809.48 = 212,942/x
  3. Step 3: Cross multiply
    331,137.20x = 496,809.48 × 212,942
  4. Step 4: Simplify right side
    331,137.20x = 105,791,604,290.16
  5. Step 5: Solve for x
    x = 105,791,604,290.16/331,137.20
  6. Step 6: Final answer
    x = 319,479.67

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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.