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Finding the Fourth Proportional to 381,214.45, 526,072.13 and 211,444.21

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Solution

The fourth proportional to 381,214.45, 526,072.13 and 211,444.21 is: 291,790.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,214.45 : 526,072.13 = 211,444.21 : x
  2. Step 2: Convert to fraction form
    381,214.45/526,072.13 = 211,444.21/x
  3. Step 3: Cross multiply
    381,214.45x = 526,072.13 × 211,444.21
  4. Step 4: Simplify right side
    381,214.45x = 111,234,905,930.87
  5. Step 5: Solve for x
    x = 111,234,905,930.87/381,214.45
  6. Step 6: Final answer
    x = 291,790.90

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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.