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Finding the Fourth Proportional to 512,821.44, 769,093.92 and 232,056

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Solution

The fourth proportional to 512,821.44, 769,093.92 and 232,056 is: 348,021.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,821.44 : 769,093.92 = 232,056 : x
  2. Step 2: Convert to fraction form
    512,821.44/769,093.92 = 232,056/x
  3. Step 3: Cross multiply
    512,821.44x = 769,093.92 × 232,056
  4. Step 4: Simplify right side
    512,821.44x = 178,472,858,699.52
  5. Step 5: Solve for x
    x = 178,472,858,699.52/512,821.44
  6. Step 6: Final answer
    x = 348,021.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.