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Finding the Fourth Proportional to 589,459.38, 813,453.90 and 321,187.38

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Solution

The fourth proportional to 589,459.38, 813,453.90 and 321,187.38 is: 443,238.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,459.38 : 813,453.90 = 321,187.38 : x
  2. Step 2: Convert to fraction form
    589,459.38/813,453.90 = 321,187.38/x
  3. Step 3: Cross multiply
    589,459.38x = 813,453.90 × 321,187.38
  4. Step 4: Simplify right side
    589,459.38x = 261,271,126,891.78
  5. Step 5: Solve for x
    x = 261,271,126,891.78/589,459.38
  6. Step 6: Final answer
    x = 443,238.56

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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.