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Finding the Fourth Proportional to 420,589.28, 580,415.57 and 239,301.21

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Solution

The fourth proportional to 420,589.28, 580,415.57 and 239,301.21 is: 330,237.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,589.28 : 580,415.57 = 239,301.21 : x
  2. Step 2: Convert to fraction form
    420,589.28/580,415.57 = 239,301.21/x
  3. Step 3: Cross multiply
    420,589.28x = 580,415.57 × 239,301.21
  4. Step 4: Simplify right side
    420,589.28x = 138,894,148,203.84
  5. Step 5: Solve for x
    x = 138,894,148,203.84/420,589.28
  6. Step 6: Final answer
    x = 330,237.01

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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.