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Finding the Fourth Proportional to 412,208.60, 568,883.94 and 230,917.64

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Solution

The fourth proportional to 412,208.60, 568,883.94 and 230,917.64 is: 318,686.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,208.60 : 568,883.94 = 230,917.64 : x
  2. Step 2: Convert to fraction form
    412,208.60/568,883.94 = 230,917.64/x
  3. Step 3: Cross multiply
    412,208.60x = 568,883.94 × 230,917.64
  4. Step 4: Simplify right side
    412,208.60x = 131,365,336,858.70
  5. Step 5: Solve for x
    x = 131,365,336,858.70/412,208.60
  6. Step 6: Final answer
    x = 318,686.55

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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.