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Finding the Fourth Proportional to 599,329, 827,074.02 and 331,057

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Solution

The fourth proportional to 599,329, 827,074.02 and 331,057 is: 456,858.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,329 : 827,074.02 = 331,057 : x
  2. Step 2: Convert to fraction form
    599,329/827,074.02 = 331,057/x
  3. Step 3: Cross multiply
    599,329x = 827,074.02 × 331,057
  4. Step 4: Simplify right side
    599,329x = 273,808,643,839.14
  5. Step 5: Solve for x
    x = 273,808,643,839.14/599,329
  6. Step 6: Final answer
    x = 456,858.66

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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.