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Finding the Fourth Proportional to 382,111.78, 526,758.49 and 267,033.16

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Solution

The fourth proportional to 382,111.78, 526,758.49 and 267,033.16 is: 368,117.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,111.78 : 526,758.49 = 267,033.16 : x
  2. Step 2: Convert to fraction form
    382,111.78/526,758.49 = 267,033.16/x
  3. Step 3: Cross multiply
    382,111.78x = 526,758.49 × 267,033.16
  4. Step 4: Simplify right side
    382,111.78x = 140,661,982,170.75
  5. Step 5: Solve for x
    x = 140,661,982,170.75/382,111.78
  6. Step 6: Final answer
    x = 368,117.37

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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.