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Finding the Fourth Proportional to 419,287.56, 578,609.34 and 228,297.48

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Solution

The fourth proportional to 419,287.56, 578,609.34 and 228,297.48 is: 315,046.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,287.56 : 578,609.34 = 228,297.48 : x
  2. Step 2: Convert to fraction form
    419,287.56/578,609.34 = 228,297.48/x
  3. Step 3: Cross multiply
    419,287.56x = 578,609.34 × 228,297.48
  4. Step 4: Simplify right side
    419,287.56x = 132,095,054,226.46
  5. Step 5: Solve for x
    x = 132,095,054,226.46/419,287.56
  6. Step 6: Final answer
    x = 315,046.44

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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.