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Finding the Fourth Proportional to 460,069.80, 689,694.30 and 179,521.80

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Solution

The fourth proportional to 460,069.80, 689,694.30 and 179,521.80 is: 269,122.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,069.80 : 689,694.30 = 179,521.80 : x
  2. Step 2: Convert to fraction form
    460,069.80/689,694.30 = 179,521.80/x
  3. Step 3: Cross multiply
    460,069.80x = 689,694.30 × 179,521.80
  4. Step 4: Simplify right side
    460,069.80x = 123,815,162,185.74
  5. Step 5: Solve for x
    x = 123,815,162,185.74/460,069.80
  6. Step 6: Final answer
    x = 269,122.56

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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.