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Finding the Fourth Proportional to 384,003.20, 575,313.60 and 313,500.80

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Solution

The fourth proportional to 384,003.20, 575,313.60 and 313,500.80 is: 469,686.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,003.20 : 575,313.60 = 313,500.80 : x
  2. Step 2: Convert to fraction form
    384,003.20/575,313.60 = 313,500.80/x
  3. Step 3: Cross multiply
    384,003.20x = 575,313.60 × 313,500.80
  4. Step 4: Simplify right side
    384,003.20x = 180,361,273,850.88
  5. Step 5: Solve for x
    x = 180,361,273,850.88/384,003.20
  6. Step 6: Final answer
    x = 469,686.90

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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.