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Finding the Fourth Proportional to 313,844.40, 470,864.97 and 103,629.96

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Solution

The fourth proportional to 313,844.40, 470,864.97 and 103,629.96 is: 155,477.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,844.40 : 470,864.97 = 103,629.96 : x
  2. Step 2: Convert to fraction form
    313,844.40/470,864.97 = 103,629.96/x
  3. Step 3: Cross multiply
    313,844.40x = 470,864.97 × 103,629.96
  4. Step 4: Simplify right side
    313,844.40x = 48,795,718,006.50
  5. Step 5: Solve for x
    x = 48,795,718,006.50/313,844.40
  6. Step 6: Final answer
    x = 155,477.42

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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.