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Finding the Fourth Proportional to 494,889.12, 742,185.60 and 258,102.60

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Solution

The fourth proportional to 494,889.12, 742,185.60 and 258,102.60 is: 387,076.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,889.12 : 742,185.60 = 258,102.60 : x
  2. Step 2: Convert to fraction form
    494,889.12/742,185.60 = 258,102.60/x
  3. Step 3: Cross multiply
    494,889.12x = 742,185.60 × 258,102.60
  4. Step 4: Simplify right side
    494,889.12x = 191,560,033,042.56
  5. Step 5: Solve for x
    x = 191,560,033,042.56/494,889.12
  6. Step 6: Final answer
    x = 387,076.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.