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Finding the Fourth Proportional to 597,998.50, 825,307.94 and 339,914.27

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Solution

The fourth proportional to 597,998.50, 825,307.94 and 339,914.27 is: 469,121.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,998.50 : 825,307.94 = 339,914.27 : x
  2. Step 2: Convert to fraction form
    597,998.50/825,307.94 = 339,914.27/x
  3. Step 3: Cross multiply
    597,998.50x = 825,307.94 × 339,914.27
  4. Step 4: Simplify right side
    597,998.50x = 280,533,945,950.30
  5. Step 5: Solve for x
    x = 280,533,945,950.30/597,998.50
  6. Step 6: Final answer
    x = 469,121.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.