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Finding the Fourth Proportional to 313,471.80, 470,207.70 and 266,232.60

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Solution

The fourth proportional to 313,471.80, 470,207.70 and 266,232.60 is: 399,348.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,471.80 : 470,207.70 = 266,232.60 : x
  2. Step 2: Convert to fraction form
    313,471.80/470,207.70 = 266,232.60/x
  3. Step 3: Cross multiply
    313,471.80x = 470,207.70 × 266,232.60
  4. Step 4: Simplify right side
    313,471.80x = 125,184,618,511.02
  5. Step 5: Solve for x
    x = 125,184,618,511.02/313,471.80
  6. Step 6: Final answer
    x = 399,348.90

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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.