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Finding the Fourth Proportional to 460,165.80, 689,838.30 and 179,617.80

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Solution

The fourth proportional to 460,165.80, 689,838.30 and 179,617.80 is: 269,266.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,165.80 : 689,838.30 = 179,617.80 : x
  2. Step 2: Convert to fraction form
    460,165.80/689,838.30 = 179,617.80/x
  3. Step 3: Cross multiply
    460,165.80x = 689,838.30 × 179,617.80
  4. Step 4: Simplify right side
    460,165.80x = 123,907,237,801.74
  5. Step 5: Solve for x
    x = 123,907,237,801.74/460,165.80
  6. Step 6: Final answer
    x = 269,266.51

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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.