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Finding the Fourth Proportional to 596,616.22, 823,349.05 and 338,504.03

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Solution

The fourth proportional to 596,616.22, 823,349.05 and 338,504.03 is: 467,146.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,616.22 : 823,349.05 = 338,504.03 : x
  2. Step 2: Convert to fraction form
    596,616.22/823,349.05 = 338,504.03/x
  3. Step 3: Cross multiply
    596,616.22x = 823,349.05 × 338,504.03
  4. Step 4: Simplify right side
    596,616.22x = 278,706,972,026.33
  5. Step 5: Solve for x
    x = 278,706,972,026.33/596,616.22
  6. Step 6: Final answer
    x = 467,146.15

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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.