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Finding the Fourth Proportional to 406,789.56, 561,403.98 and 234,738.54

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Solution

The fourth proportional to 406,789.56, 561,403.98 and 234,738.54 is: 323,959.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,789.56 : 561,403.98 = 234,738.54 : x
  2. Step 2: Convert to fraction form
    406,789.56/561,403.98 = 234,738.54/x
  3. Step 3: Cross multiply
    406,789.56x = 561,403.98 × 234,738.54
  4. Step 4: Simplify right side
    406,789.56x = 131,783,150,615.39
  5. Step 5: Solve for x
    x = 131,783,150,615.39/406,789.56
  6. Step 6: Final answer
    x = 323,959.03

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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.