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Finding the Fourth Proportional to 311,907.70, 467,205.45 and 259,419.70

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Solution

The fourth proportional to 311,907.70, 467,205.45 and 259,419.70 is: 388,583.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,907.70 : 467,205.45 = 259,419.70 : x
  2. Step 2: Convert to fraction form
    311,907.70/467,205.45 = 259,419.70/x
  3. Step 3: Cross multiply
    311,907.70x = 467,205.45 × 259,419.70
  4. Step 4: Simplify right side
    311,907.70x = 121,202,297,677.37
  5. Step 5: Solve for x
    x = 121,202,297,677.37/311,907.70
  6. Step 6: Final answer
    x = 388,583.86

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1.5x scale

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.