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Finding the Fourth Proportional to 311,997.92, 468,075 and 179,028.32

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Solution

The fourth proportional to 311,997.92, 468,075 and 179,028.32 is: 268,587.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,997.92 : 468,075 = 179,028.32 : x
  2. Step 2: Convert to fraction form
    311,997.92/468,075 = 179,028.32/x
  3. Step 3: Cross multiply
    311,997.92x = 468,075 × 179,028.32
  4. Step 4: Simplify right side
    311,997.92x = 83,798,680,884
  5. Step 5: Solve for x
    x = 83,798,680,884/311,997.92
  6. Step 6: Final answer
    x = 268,587.31

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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.