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Finding the Fourth Proportional to 381,850.28, 526,938.74 and 212,095.24

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Solution

The fourth proportional to 381,850.28, 526,938.74 and 212,095.24 is: 292,683.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,850.28 : 526,938.74 = 212,095.24 : x
  2. Step 2: Convert to fraction form
    381,850.28/526,938.74 = 212,095.24/x
  3. Step 3: Cross multiply
    381,850.28x = 526,938.74 × 212,095.24
  4. Step 4: Simplify right side
    381,850.28x = 111,761,198,525.60
  5. Step 5: Solve for x
    x = 111,761,198,525.60/381,850.28
  6. Step 6: Final answer
    x = 292,683.30

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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.