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Finding the Fourth Proportional to 384,007.72, 529,932.18 and 214,249

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Solution

The fourth proportional to 384,007.72, 529,932.18 and 214,249 is: 295,664.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,007.72 : 529,932.18 = 214,249 : x
  2. Step 2: Convert to fraction form
    384,007.72/529,932.18 = 214,249/x
  3. Step 3: Cross multiply
    384,007.72x = 529,932.18 × 214,249
  4. Step 4: Simplify right side
    384,007.72x = 113,537,439,632.82
  5. Step 5: Solve for x
    x = 113,537,439,632.82/384,007.72
  6. Step 6: Final answer
    x = 295,664.47

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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.