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Finding the Fourth Proportional to 311,786.58, 467,204.06 and 162,075.50

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Solution

The fourth proportional to 311,786.58, 467,204.06 and 162,075.50 is: 242,865.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,786.58 : 467,204.06 = 162,075.50 : x
  2. Step 2: Convert to fraction form
    311,786.58/467,204.06 = 162,075.50/x
  3. Step 3: Cross multiply
    311,786.58x = 467,204.06 × 162,075.50
  4. Step 4: Simplify right side
    311,786.58x = 75,722,329,695.70
  5. Step 5: Solve for x
    x = 75,722,329,695.70/311,786.58
  6. Step 6: Final answer
    x = 242,865.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.