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Finding the Fourth Proportional to 589,986.77, 814,180.25 and 321,714.77

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Solution

The fourth proportional to 589,986.77, 814,180.25 and 321,714.77 is: 443,965.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,986.77 : 814,180.25 = 321,714.77 : x
  2. Step 2: Convert to fraction form
    589,986.77/814,180.25 = 321,714.77/x
  3. Step 3: Cross multiply
    589,986.77x = 814,180.25 × 321,714.77
  4. Step 4: Simplify right side
    589,986.77x = 261,933,810,258.72
  5. Step 5: Solve for x
    x = 261,933,810,258.72/589,986.77
  6. Step 6: Final answer
    x = 443,965.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.