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Finding the Fourth Proportional to 460,198.80, 689,887.80 and 179,650.80

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Solution

The fourth proportional to 460,198.80, 689,887.80 and 179,650.80 is: 269,315.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,198.80 : 689,887.80 = 179,650.80 : x
  2. Step 2: Convert to fraction form
    460,198.80/689,887.80 = 179,650.80/x
  3. Step 3: Cross multiply
    460,198.80x = 689,887.80 × 179,650.80
  4. Step 4: Simplify right side
    460,198.80x = 123,938,895,180.24
  5. Step 5: Solve for x
    x = 123,938,895,180.24/460,198.80
  6. Step 6: Final answer
    x = 269,315.99

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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.