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Finding the Fourth Proportional to 590,067.65, 814,292.15 and 331,944.77

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Solution

The fourth proportional to 590,067.65, 814,292.15 and 331,944.77 is: 458,083.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,067.65 : 814,292.15 = 331,944.77 : x
  2. Step 2: Convert to fraction form
    590,067.65/814,292.15 = 331,944.77/x
  3. Step 3: Cross multiply
    590,067.65x = 814,292.15 × 331,944.77
  4. Step 4: Simplify right side
    590,067.65x = 270,300,014,713.37
  5. Step 5: Solve for x
    x = 270,300,014,713.37/590,067.65
  6. Step 6: Final answer
    x = 458,083.10

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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.