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Finding the Fourth Proportional to 311,874.90, 467,812.35 and 154,410.90

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Solution

The fourth proportional to 311,874.90, 467,812.35 and 154,410.90 is: 231,616.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,874.90 : 467,812.35 = 154,410.90 : x
  2. Step 2: Convert to fraction form
    311,874.90/467,812.35 = 154,410.90/x
  3. Step 3: Cross multiply
    311,874.90x = 467,812.35 × 154,410.90
  4. Step 4: Simplify right side
    311,874.90x = 72,235,325,994.62
  5. Step 5: Solve for x
    x = 72,235,325,994.62/311,874.90
  6. Step 6: Final answer
    x = 231,616.35

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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.