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Finding the Fourth Proportional to 313,564.20, 470,346.30 and 311,814.60

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Solution

The fourth proportional to 313,564.20, 470,346.30 and 311,814.60 is: 467,721.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,564.20 : 470,346.30 = 311,814.60 : x
  2. Step 2: Convert to fraction form
    313,564.20/470,346.30 = 311,814.60/x
  3. Step 3: Cross multiply
    313,564.20x = 470,346.30 × 311,814.60
  4. Step 4: Simplify right side
    313,564.20x = 146,660,843,395.98
  5. Step 5: Solve for x
    x = 146,660,843,395.98/313,564.20
  6. Step 6: Final answer
    x = 467,721.90

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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.