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Finding the Fourth Proportional to 310,846.51, 428,930.13 and 196,082.07

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Solution

The fourth proportional to 310,846.51, 428,930.13 and 196,082.07 is: 270,569.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,846.51 : 428,930.13 = 196,082.07 : x
  2. Step 2: Convert to fraction form
    310,846.51/428,930.13 = 196,082.07/x
  3. Step 3: Cross multiply
    310,846.51x = 428,930.13 × 196,082.07
  4. Step 4: Simplify right side
    310,846.51x = 84,105,505,631.12
  5. Step 5: Solve for x
    x = 84,105,505,631.12/310,846.51
  6. Step 6: Final answer
    x = 270,569.25

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