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Finding the Fourth Proportional to 318,204.36, 476,661.84 and 147,183

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Solution

The fourth proportional to 318,204.36, 476,661.84 and 147,183 is: 220,476.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,204.36 : 476,661.84 = 147,183 : x
  2. Step 2: Convert to fraction form
    318,204.36/476,661.84 = 147,183/x
  3. Step 3: Cross multiply
    318,204.36x = 476,661.84 × 147,183
  4. Step 4: Simplify right side
    318,204.36x = 70,156,519,596.72
  5. Step 5: Solve for x
    x = 70,156,519,596.72/318,204.36
  6. Step 6: Final answer
    x = 220,476.30

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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.