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Finding the Fourth Proportional to 381,219.63, 526,146.21 and 211,508.43

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Solution

The fourth proportional to 381,219.63, 526,146.21 and 211,508.43 is: 291,916.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,219.63 : 526,146.21 = 211,508.43 : x
  2. Step 2: Convert to fraction form
    381,219.63/526,146.21 = 211,508.43/x
  3. Step 3: Cross multiply
    381,219.63x = 526,146.21 × 211,508.43
  4. Step 4: Simplify right side
    381,219.63x = 111,284,358,827.55
  5. Step 5: Solve for x
    x = 111,284,358,827.55/381,219.63
  6. Step 6: Final answer
    x = 291,916.65

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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.