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Finding the Fourth Proportional to 313,616.40, 470,376.60 and 103,254.80

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Solution

The fourth proportional to 313,616.40, 470,376.60 and 103,254.80 is: 154,866.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,616.40 : 470,376.60 = 103,254.80 : x
  2. Step 2: Convert to fraction form
    313,616.40/470,376.60 = 103,254.80/x
  3. Step 3: Cross multiply
    313,616.40x = 470,376.60 × 103,254.80
  4. Step 4: Simplify right side
    313,616.40x = 48,568,641,757.68
  5. Step 5: Solve for x
    x = 48,568,641,757.68/313,616.40
  6. Step 6: Final answer
    x = 154,866.40

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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.