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Finding the Fourth Proportional to 318,910.40, 478,365.60 and 200,715.20

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Solution

The fourth proportional to 318,910.40, 478,365.60 and 200,715.20 is: 301,072.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,910.40 : 478,365.60 = 200,715.20 : x
  2. Step 2: Convert to fraction form
    318,910.40/478,365.60 = 200,715.20/x
  3. Step 3: Cross multiply
    318,910.40x = 478,365.60 × 200,715.20
  4. Step 4: Simplify right side
    318,910.40x = 96,015,247,077.12
  5. Step 5: Solve for x
    x = 96,015,247,077.12/318,910.40
  6. Step 6: Final answer
    x = 301,072.80

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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.