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Finding the Fourth Proportional to 596,558.40, 823,269.22 and 338,446.24

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Solution

The fourth proportional to 596,558.40, 823,269.22 and 338,446.24 is: 467,066.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,558.40 : 823,269.22 = 338,446.24 : x
  2. Step 2: Convert to fraction form
    596,558.40/823,269.22 = 338,446.24/x
  3. Step 3: Cross multiply
    596,558.40x = 823,269.22 × 338,446.24
  4. Step 4: Simplify right side
    596,558.40x = 278,632,372,016.73
  5. Step 5: Solve for x
    x = 278,632,372,016.73/596,558.40
  6. Step 6: Final answer
    x = 467,066.38

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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.