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Finding the Fourth Proportional to 311,108.40, 465,496.20 and 283,114.80

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Solution

The fourth proportional to 311,108.40, 465,496.20 and 283,114.80 is: 423,610.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,108.40 : 465,496.20 = 283,114.80 : x
  2. Step 2: Convert to fraction form
    311,108.40/465,496.20 = 283,114.80/x
  3. Step 3: Cross multiply
    311,108.40x = 465,496.20 × 283,114.80
  4. Step 4: Simplify right side
    311,108.40x = 131,788,863,563.76
  5. Step 5: Solve for x
    x = 131,788,863,563.76/311,108.40
  6. Step 6: Final answer
    x = 423,610.75

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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.