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Finding the Fourth Proportional to 399,540.78, 599,606.01 and 189,178.38

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Solution

The fourth proportional to 399,540.78, 599,606.01 and 189,178.38 is: 283,907.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,540.78 : 599,606.01 = 189,178.38 : x
  2. Step 2: Convert to fraction form
    399,540.78/599,606.01 = 189,178.38/x
  3. Step 3: Cross multiply
    399,540.78x = 599,606.01 × 189,178.38
  4. Step 4: Simplify right side
    399,540.78x = 113,432,493,610.06
  5. Step 5: Solve for x
    x = 113,432,493,610.06/399,540.78
  6. Step 6: Final answer
    x = 283,907.17

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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.