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Finding the Fourth Proportional to 557,391.16, 769,068.03 and 327,958.46

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Solution

The fourth proportional to 557,391.16, 769,068.03 and 327,958.46 is: 452,505.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,391.16 : 769,068.03 = 327,958.46 : x
  2. Step 2: Convert to fraction form
    557,391.16/769,068.03 = 327,958.46/x
  3. Step 3: Cross multiply
    557,391.16x = 769,068.03 × 327,958.46
  4. Step 4: Simplify right side
    557,391.16x = 252,222,366,754.03
  5. Step 5: Solve for x
    x = 252,222,366,754.03/557,391.16
  6. Step 6: Final answer
    x = 452,505.14

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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.