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Finding the Fourth Proportional to 312,015.80, 468,023.70 and 299,768.60

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Solution

The fourth proportional to 312,015.80, 468,023.70 and 299,768.60 is: 449,652.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,015.80 : 468,023.70 = 299,768.60 : x
  2. Step 2: Convert to fraction form
    312,015.80/468,023.70 = 299,768.60/x
  3. Step 3: Cross multiply
    312,015.80x = 468,023.70 × 299,768.60
  4. Step 4: Simplify right side
    312,015.80x = 140,298,809,315.82
  5. Step 5: Solve for x
    x = 140,298,809,315.82/312,015.80
  6. Step 6: Final answer
    x = 449,652.90

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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.