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Finding the Fourth Proportional to 313,400.60, 470,100.90 and 76,745.60

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Solution

The fourth proportional to 313,400.60, 470,100.90 and 76,745.60 is: 115,118.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,400.60 : 470,100.90 = 76,745.60 : x
  2. Step 2: Convert to fraction form
    313,400.60/470,100.90 = 76,745.60/x
  3. Step 3: Cross multiply
    313,400.60x = 470,100.90 × 76,745.60
  4. Step 4: Simplify right side
    313,400.60x = 36,078,175,631.04
  5. Step 5: Solve for x
    x = 36,078,175,631.04/313,400.60
  6. Step 6: Final answer
    x = 115,118.40

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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.