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Finding the Fourth Proportional to 381,846.78, 526,596.44 and 259,522.38

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Solution

The fourth proportional to 381,846.78, 526,596.44 and 259,522.38 is: 357,901.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,846.78 : 526,596.44 = 259,522.38 : x
  2. Step 2: Convert to fraction form
    381,846.78/526,596.44 = 259,522.38/x
  3. Step 3: Cross multiply
    381,846.78x = 526,596.44 × 259,522.38
  4. Step 4: Simplify right side
    381,846.78x = 136,663,560,110.72
  5. Step 5: Solve for x
    x = 136,663,560,110.72/381,846.78
  6. Step 6: Final answer
    x = 357,901.56

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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.