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Finding the Fourth Proportional to 590,091.64, 814,324.98 and 321,819.64

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Solution

The fourth proportional to 590,091.64, 814,324.98 and 321,819.64 is: 444,110.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,091.64 : 814,324.98 = 321,819.64 : x
  2. Step 2: Convert to fraction form
    590,091.64/814,324.98 = 321,819.64/x
  3. Step 3: Cross multiply
    590,091.64x = 814,324.98 × 321,819.64
  4. Step 4: Simplify right side
    590,091.64x = 262,065,771,906.61
  5. Step 5: Solve for x
    x = 262,065,771,906.61/590,091.64
  6. Step 6: Final answer
    x = 444,110.29

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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.