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Finding the Fourth Proportional to 370,524.94, 511,324.76 and 200,759.06

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Solution

The fourth proportional to 370,524.94, 511,324.76 and 200,759.06 is: 277,047.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,524.94 : 511,324.76 = 200,759.06 : x
  2. Step 2: Convert to fraction form
    370,524.94/511,324.76 = 200,759.06/x
  3. Step 3: Cross multiply
    370,524.94x = 511,324.76 × 200,759.06
  4. Step 4: Simplify right side
    370,524.94x = 102,653,078,172.33
  5. Step 5: Solve for x
    x = 102,653,078,172.33/370,524.94
  6. Step 6: Final answer
    x = 277,047.69

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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.