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Finding the Fourth Proportional to 590,296.29, 814,605.07 and 335,647.46

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Solution

The fourth proportional to 590,296.29, 814,605.07 and 335,647.46 is: 463,191.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,296.29 : 814,605.07 = 335,647.46 : x
  2. Step 2: Convert to fraction form
    590,296.29/814,605.07 = 335,647.46/x
  3. Step 3: Cross multiply
    590,296.29x = 814,605.07 × 335,647.46
  4. Step 4: Simplify right side
    590,296.29x = 273,420,122,648.62
  5. Step 5: Solve for x
    x = 273,420,122,648.62/590,296.29
  6. Step 6: Final answer
    x = 463,191.33

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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.