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Finding the Fourth Proportional to 381,510, 526,483.80 and 211,745.34

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Solution

The fourth proportional to 381,510, 526,483.80 and 211,745.34 is: 292,208.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,510 : 526,483.80 = 211,745.34 : x
  2. Step 2: Convert to fraction form
    381,510/526,483.80 = 211,745.34/x
  3. Step 3: Cross multiply
    381,510x = 526,483.80 × 211,745.34
  4. Step 4: Simplify right side
    381,510x = 111,480,491,235.49
  5. Step 5: Solve for x
    x = 111,480,491,235.49/381,510
  6. Step 6: Final answer
    x = 292,208.57

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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.