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Finding the Fourth Proportional to 311,177.80, 434,715.80 and 311,177.80

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Solution

The fourth proportional to 311,177.80, 434,715.80 and 311,177.80 is: 434,715.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,177.80 : 434,715.80 = 311,177.80 : x
  2. Step 2: Convert to fraction form
    311,177.80/434,715.80 = 311,177.80/x
  3. Step 3: Cross multiply
    311,177.80x = 434,715.80 × 311,177.80
  4. Step 4: Simplify right side
    311,177.80x = 135,273,906,269.24
  5. Step 5: Solve for x
    x = 135,273,906,269.24/311,177.80
  6. Step 6: Final answer
    x = 434,715.80

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.