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Finding the Fourth Proportional to 431,203.80, 590,751.33 and 415,042.49

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Solution

The fourth proportional to 431,203.80, 590,751.33 and 415,042.49 is: 568,610.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,203.80 : 590,751.33 = 415,042.49 : x
  2. Step 2: Convert to fraction form
    431,203.80/590,751.33 = 415,042.49/x
  3. Step 3: Cross multiply
    431,203.80x = 590,751.33 × 415,042.49
  4. Step 4: Simplify right side
    431,203.80x = 245,186,902,974.01
  5. Step 5: Solve for x
    x = 245,186,902,974.01/431,203.80
  6. Step 6: Final answer
    x = 568,610.26

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.