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Finding the Fourth Proportional to 412,051.67, 568,604.24 and 230,722.03

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Solution

The fourth proportional to 412,051.67, 568,604.24 and 230,722.03 is: 318,381.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,051.67 : 568,604.24 = 230,722.03 : x
  2. Step 2: Convert to fraction form
    412,051.67/568,604.24 = 230,722.03/x
  3. Step 3: Cross multiply
    412,051.67x = 568,604.24 × 230,722.03
  4. Step 4: Simplify right side
    412,051.67x = 131,189,524,941.76
  5. Step 5: Solve for x
    x = 131,189,524,941.76/412,051.67
  6. Step 6: Final answer
    x = 318,381.25

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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.