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Finding the Fourth Proportional to 381,683.34, 526,721.94 and 211,916.25

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Solution

The fourth proportional to 381,683.34, 526,721.94 and 211,916.25 is: 292,443.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,683.34 : 526,721.94 = 211,916.25 : x
  2. Step 2: Convert to fraction form
    381,683.34/526,721.94 = 211,916.25/x
  3. Step 3: Cross multiply
    381,683.34x = 526,721.94 × 211,916.25
  4. Step 4: Simplify right side
    381,683.34x = 111,620,938,317.53
  5. Step 5: Solve for x
    x = 111,620,938,317.53/381,683.34
  6. Step 6: Final answer
    x = 292,443.83

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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.