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Finding the Fourth Proportional to 384,011.28, 529,961.04 and 214,249.02

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Solution

The fourth proportional to 384,011.28, 529,961.04 and 214,249.02 is: 295,677.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,011.28 : 529,961.04 = 214,249.02 : x
  2. Step 2: Convert to fraction form
    384,011.28/529,961.04 = 214,249.02/x
  3. Step 3: Cross multiply
    384,011.28x = 529,961.04 × 214,249.02
  4. Step 4: Simplify right side
    384,011.28x = 113,543,633,458.18
  5. Step 5: Solve for x
    x = 113,543,633,458.18/384,011.28
  6. Step 6: Final answer
    x = 295,677.86

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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.