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Finding the Fourth Proportional to 313,863.06, 470,911.24 and 145,464.06

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Solution

The fourth proportional to 313,863.06, 470,911.24 and 145,464.06 is: 218,250.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,863.06 : 470,911.24 = 145,464.06 : x
  2. Step 2: Convert to fraction form
    313,863.06/470,911.24 = 145,464.06/x
  3. Step 3: Cross multiply
    313,863.06x = 470,911.24 × 145,464.06
  4. Step 4: Simplify right side
    313,863.06x = 68,500,660,870.03
  5. Step 5: Solve for x
    x = 68,500,660,870.03/313,863.06
  6. Step 6: Final answer
    x = 218,250.15

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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.