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Finding the Fourth Proportional to 382,111.94, 526,758.72 and 267,033.30

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Solution

The fourth proportional to 382,111.94, 526,758.72 and 267,033.30 is: 368,117.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,111.94 : 526,758.72 = 267,033.30 : x
  2. Step 2: Convert to fraction form
    382,111.94/526,758.72 = 267,033.30/x
  3. Step 3: Cross multiply
    382,111.94x = 526,758.72 × 267,033.30
  4. Step 4: Simplify right side
    382,111.94x = 140,662,119,305.38
  5. Step 5: Solve for x
    x = 140,662,119,305.38/382,111.94
  6. Step 6: Final answer
    x = 368,117.57

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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.