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Finding the Fourth Proportional to 384,008.72, 529,933.56 and 214,250

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Solution

The fourth proportional to 384,008.72, 529,933.56 and 214,250 is: 295,665.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,008.72 : 529,933.56 = 214,250 : x
  2. Step 2: Convert to fraction form
    384,008.72/529,933.56 = 214,250/x
  3. Step 3: Cross multiply
    384,008.72x = 529,933.56 × 214,250
  4. Step 4: Simplify right side
    384,008.72x = 113,538,265,230.00
  5. Step 5: Solve for x
    x = 113,538,265,230.00/384,008.72
  6. Step 6: Final answer
    x = 295,665.85

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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.