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Finding the Fourth Proportional to 590,537.94, 814,933.16 and 332,414.33

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Solution

The fourth proportional to 590,537.94, 814,933.16 and 332,414.33 is: 458,726.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,537.94 : 814,933.16 = 332,414.33 : x
  2. Step 2: Convert to fraction form
    590,537.94/814,933.16 = 332,414.33/x
  3. Step 3: Cross multiply
    590,537.94x = 814,933.16 × 332,414.33
  4. Step 4: Simplify right side
    590,537.94x = 270,895,461,998.00
  5. Step 5: Solve for x
    x = 270,895,461,998.00/590,537.94
  6. Step 6: Final answer
    x = 458,726.60

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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.