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Finding the Fourth Proportional to 599,954, 827,953.80 and 331,699.28

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Solution

The fourth proportional to 599,954, 827,953.80 and 331,699.28 is: 457,754.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,954 : 827,953.80 = 331,699.28 : x
  2. Step 2: Convert to fraction form
    599,954/827,953.80 = 331,699.28/x
  3. Step 3: Cross multiply
    599,954x = 827,953.80 × 331,699.28
  4. Step 4: Simplify right side
    599,954x = 274,631,679,333.26
  5. Step 5: Solve for x
    x = 274,631,679,333.26/599,954
  6. Step 6: Final answer
    x = 457,754.56

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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.