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Finding the Fourth Proportional to 370,960.31, 511,926.13 and 201,194.43

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Solution

The fourth proportional to 370,960.31, 511,926.13 and 201,194.43 is: 277,648.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,960.31 : 511,926.13 = 201,194.43 : x
  2. Step 2: Convert to fraction form
    370,960.31/511,926.13 = 201,194.43/x
  3. Step 3: Cross multiply
    370,960.31x = 511,926.13 × 201,194.43
  4. Step 4: Simplify right side
    370,960.31x = 102,996,686,007.09
  5. Step 5: Solve for x
    x = 102,996,686,007.09/370,960.31
  6. Step 6: Final answer
    x = 277,648.81

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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.