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Finding the Fourth Proportional to 599,328, 827,072.64 and 331,056

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Solution

The fourth proportional to 599,328, 827,072.64 and 331,056 is: 456,857.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,328 : 827,072.64 = 331,056 : x
  2. Step 2: Convert to fraction form
    599,328/827,072.64 = 331,056/x
  3. Step 3: Cross multiply
    599,328x = 827,072.64 × 331,056
  4. Step 4: Simplify right side
    599,328x = 273,807,359,907.84
  5. Step 5: Solve for x
    x = 273,807,359,907.84/599,328
  6. Step 6: Final answer
    x = 456,857.28

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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.