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Finding the Fourth Proportional to 311,294.20, 465,866.10 and 186,724.60

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Solution

The fourth proportional to 311,294.20, 465,866.10 and 186,724.60 is: 279,441.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,294.20 : 465,866.10 = 186,724.60 : x
  2. Step 2: Convert to fraction form
    311,294.20/465,866.10 = 186,724.60/x
  3. Step 3: Cross multiply
    311,294.20x = 465,866.10 × 186,724.60
  4. Step 4: Simplify right side
    311,294.20x = 86,988,661,176.06
  5. Step 5: Solve for x
    x = 86,988,661,176.06/311,294.20
  6. Step 6: Final answer
    x = 279,441.96

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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.