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Finding the Fourth Proportional to 412,230.96, 568,749.60 and 230,918.40

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Solution

The fourth proportional to 412,230.96, 568,749.60 and 230,918.40 is: 318,595.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,230.96 : 568,749.60 = 230,918.40 : x
  2. Step 2: Convert to fraction form
    412,230.96/568,749.60 = 230,918.40/x
  3. Step 3: Cross multiply
    412,230.96x = 568,749.60 × 230,918.40
  4. Step 4: Simplify right side
    412,230.96x = 131,334,747,632.64
  5. Step 5: Solve for x
    x = 131,334,747,632.64/412,230.96
  6. Step 6: Final answer
    x = 318,595.06

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Why These Related Problems?

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