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Finding the Fourth Proportional to 370,537.44, 511,342.14 and 200,771.52

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Solution

The fourth proportional to 370,537.44, 511,342.14 and 200,771.52 is: 277,064.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,537.44 : 511,342.14 = 200,771.52 : x
  2. Step 2: Convert to fraction form
    370,537.44/511,342.14 = 200,771.52/x
  3. Step 3: Cross multiply
    370,537.44x = 511,342.14 × 200,771.52
  4. Step 4: Simplify right side
    370,537.44x = 102,662,938,687.85
  5. Step 5: Solve for x
    x = 102,662,938,687.85/370,537.44
  6. Step 6: Final answer
    x = 277,064.95

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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.