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Finding the Fourth Proportional to 597,000.78, 823,819.41 and 338,882.94

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Solution

The fourth proportional to 597,000.78, 823,819.41 and 338,882.94 is: 467,634.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,000.78 : 823,819.41 = 338,882.94 : x
  2. Step 2: Convert to fraction form
    597,000.78/823,819.41 = 338,882.94/x
  3. Step 3: Cross multiply
    597,000.78x = 823,819.41 × 338,882.94
  4. Step 4: Simplify right side
    597,000.78x = 279,178,343,689.87
  5. Step 5: Solve for x
    x = 279,178,343,689.87/597,000.78
  6. Step 6: Final answer
    x = 467,634.81

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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.