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Finding the Fourth Proportional to 494,902.08, 742,352.76 and 179,358.48

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Solution

The fourth proportional to 494,902.08, 742,352.76 and 179,358.48 is: 269,037.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,902.08 : 742,352.76 = 179,358.48 : x
  2. Step 2: Convert to fraction form
    494,902.08/742,352.76 = 179,358.48/x
  3. Step 3: Cross multiply
    494,902.08x = 742,352.76 × 179,358.48
  4. Step 4: Simplify right side
    494,902.08x = 133,147,262,657.41
  5. Step 5: Solve for x
    x = 133,147,262,657.41/494,902.08
  6. Step 6: Final answer
    x = 269,037.59

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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.