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Finding the Fourth Proportional to 412,005.12, 568,583.27 and 230,715.45

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Solution

The fourth proportional to 412,005.12, 568,583.27 and 230,715.45 is: 318,396.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,005.12 : 568,583.27 = 230,715.45 : x
  2. Step 2: Convert to fraction form
    412,005.12/568,583.27 = 230,715.45/x
  3. Step 3: Cross multiply
    412,005.12x = 568,583.27 × 230,715.45
  4. Step 4: Simplify right side
    412,005.12x = 131,180,943,846.94
  5. Step 5: Solve for x
    x = 131,180,943,846.94/412,005.12
  6. Step 6: Final answer
    x = 318,396.39

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.