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Finding the Fourth Proportional to 590,572.28, 814,978.38 and 322,302.20

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Solution

The fourth proportional to 590,572.28, 814,978.38 and 322,302.20 is: 444,770.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,572.28 : 814,978.38 = 322,302.20 : x
  2. Step 2: Convert to fraction form
    590,572.28/814,978.38 = 322,302.20/x
  3. Step 3: Cross multiply
    590,572.28x = 814,978.38 × 322,302.20
  4. Step 4: Simplify right side
    590,572.28x = 262,669,324,826.44
  5. Step 5: Solve for x
    x = 262,669,324,826.44/590,572.28
  6. Step 6: Final answer
    x = 444,770.83

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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.