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Finding the Fourth Proportional to 589,905.28, 814,058.88 and 321,633.28

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Solution

The fourth proportional to 589,905.28, 814,058.88 and 321,633.28 is: 443,848.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,905.28 : 814,058.88 = 321,633.28 : x
  2. Step 2: Convert to fraction form
    589,905.28/814,058.88 = 321,633.28/x
  3. Step 3: Cross multiply
    589,905.28x = 814,058.88 × 321,633.28
  4. Step 4: Simplify right side
    589,905.28x = 261,828,427,687.53
  5. Step 5: Solve for x
    x = 261,828,427,687.53/589,905.28
  6. Step 6: Final answer
    x = 443,848.25

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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.