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Finding the Fourth Proportional to 514,481.85, 771,751.94 and 159,546.33

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Solution

The fourth proportional to 514,481.85, 771,751.94 and 159,546.33 is: 239,328.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,481.85 : 771,751.94 = 159,546.33 : x
  2. Step 2: Convert to fraction form
    514,481.85/771,751.94 = 159,546.33/x
  3. Step 3: Cross multiply
    514,481.85x = 771,751.94 × 159,546.33
  4. Step 4: Simplify right side
    514,481.85x = 123,130,188,899.65
  5. Step 5: Solve for x
    x = 123,130,188,899.65/514,481.85
  6. Step 6: Final answer
    x = 239,328.54

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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.