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Finding the Fourth Proportional to 382,111.69, 526,758.38 and 267,033.05

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Solution

The fourth proportional to 382,111.69, 526,758.38 and 267,033.05 is: 368,117.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,111.69 : 526,758.38 = 267,033.05 : x
  2. Step 2: Convert to fraction form
    382,111.69/526,758.38 = 267,033.05/x
  3. Step 3: Cross multiply
    382,111.69x = 526,758.38 × 267,033.05
  4. Step 4: Simplify right side
    382,111.69x = 140,661,892,855.50
  5. Step 5: Solve for x
    x = 140,661,892,855.50/382,111.69
  6. Step 6: Final answer
    x = 368,117.22

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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.