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Finding the Fourth Proportional to 412,205.60, 568,879.80 and 230,914.64

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Solution

The fourth proportional to 412,205.60, 568,879.80 and 230,914.64 is: 318,682.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,205.60 : 568,879.80 = 230,914.64 : x
  2. Step 2: Convert to fraction form
    412,205.60/568,879.80 = 230,914.64/x
  3. Step 3: Cross multiply
    412,205.60x = 568,879.80 × 230,914.64
  4. Step 4: Simplify right side
    412,205.60x = 131,362,674,220.27
  5. Step 5: Solve for x
    x = 131,362,674,220.27/412,205.60
  6. Step 6: Final answer
    x = 318,682.41

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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.