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Finding the Fourth Proportional to 383,948.80, 529,837.44 and 214,211.68

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Solution

The fourth proportional to 383,948.80, 529,837.44 and 214,211.68 is: 295,605.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,948.80 : 529,837.44 = 214,211.68 : x
  2. Step 2: Convert to fraction form
    383,948.80/529,837.44 = 214,211.68/x
  3. Step 3: Cross multiply
    383,948.80x = 529,837.44 × 214,211.68
  4. Step 4: Simplify right side
    383,948.80x = 113,497,368,149.30
  5. Step 5: Solve for x
    x = 113,497,368,149.30/383,948.80
  6. Step 6: Final answer
    x = 295,605.48

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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.