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Finding the Fourth Proportional to 274,435.40, 411,998.70 and 148,176.20

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Solution

The fourth proportional to 274,435.40, 411,998.70 and 148,176.20 is: 222,450.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,435.40 : 411,998.70 = 148,176.20 : x
  2. Step 2: Convert to fraction form
    274,435.40/411,998.70 = 148,176.20/x
  3. Step 3: Cross multiply
    274,435.40x = 411,998.70 × 148,176.20
  4. Step 4: Simplify right side
    274,435.40x = 61,048,401,770.94
  5. Step 5: Solve for x
    x = 61,048,401,770.94/274,435.40
  6. Step 6: Final answer
    x = 222,450.90

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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.