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Finding the Fourth Proportional to 412,075.50, 568,676.74 and 230,786.96

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Solution

The fourth proportional to 412,075.50, 568,676.74 and 230,786.96 is: 318,493.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,075.50 : 568,676.74 = 230,786.96 : x
  2. Step 2: Convert to fraction form
    412,075.50/568,676.74 = 230,786.96/x
  3. Step 3: Cross multiply
    412,075.50x = 568,676.74 × 230,786.96
  4. Step 4: Simplify right side
    412,075.50x = 131,243,176,047.31
  5. Step 5: Solve for x
    x = 131,243,176,047.31/412,075.50
  6. Step 6: Final answer
    x = 318,493.03

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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.