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Finding the Fourth Proportional to 381,563.16, 526,450.44 and 238,468.56

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Solution

The fourth proportional to 381,563.16, 526,450.44 and 238,468.56 is: 329,019.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,563.16 : 526,450.44 = 238,468.56 : x
  2. Step 2: Convert to fraction form
    381,563.16/526,450.44 = 238,468.56/x
  3. Step 3: Cross multiply
    381,563.16x = 526,450.44 × 238,468.56
  4. Step 4: Simplify right side
    381,563.16x = 125,541,878,338.17
  5. Step 5: Solve for x
    x = 125,541,878,338.17/381,563.16
  6. Step 6: Final answer
    x = 329,019.91

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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.