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Finding the Fourth Proportional to 383,852.13, 529,716.65 and 214,097.19

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Solution

The fourth proportional to 383,852.13, 529,716.65 and 214,097.19 is: 295,454.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,852.13 : 529,716.65 = 214,097.19 : x
  2. Step 2: Convert to fraction form
    383,852.13/529,716.65 = 214,097.19/x
  3. Step 3: Cross multiply
    383,852.13x = 529,716.65 × 214,097.19
  4. Step 4: Simplify right side
    383,852.13x = 113,410,845,190.73
  5. Step 5: Solve for x
    x = 113,410,845,190.73/383,852.13
  6. Step 6: Final answer
    x = 295,454.52

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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.