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Finding the Fourth Proportional to 313,364.40, 470,305.80 and 145,143.60

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Solution

The fourth proportional to 313,364.40, 470,305.80 and 145,143.60 is: 217,835.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,364.40 : 470,305.80 = 145,143.60 : x
  2. Step 2: Convert to fraction form
    313,364.40/470,305.80 = 145,143.60/x
  3. Step 3: Cross multiply
    313,364.40x = 470,305.80 × 145,143.60
  4. Step 4: Simplify right side
    313,364.40x = 68,261,876,912.88
  5. Step 5: Solve for x
    x = 68,261,876,912.88/313,364.40
  6. Step 6: Final answer
    x = 217,835.46

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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.