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Finding the Fourth Proportional to 311,995.92, 468,072 and 179,026.32

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Solution

The fourth proportional to 311,995.92, 468,072 and 179,026.32 is: 268,584.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,995.92 : 468,072 = 179,026.32 : x
  2. Step 2: Convert to fraction form
    311,995.92/468,072 = 179,026.32/x
  3. Step 3: Cross multiply
    311,995.92x = 468,072 × 179,026.32
  4. Step 4: Simplify right side
    311,995.92x = 83,797,207,655.04
  5. Step 5: Solve for x
    x = 83,797,207,655.04/311,995.92
  6. Step 6: Final answer
    x = 268,584.31

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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.