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Finding the Fourth Proportional to 420,428.57, 580,205.00 and 239,135.84

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Solution

The fourth proportional to 420,428.57, 580,205.00 and 239,135.84 is: 330,015.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,428.57 : 580,205.00 = 239,135.84 : x
  2. Step 2: Convert to fraction form
    420,428.57/580,205.00 = 239,135.84/x
  3. Step 3: Cross multiply
    420,428.57x = 580,205.00 × 239,135.84
  4. Step 4: Simplify right side
    420,428.57x = 138,747,805,950.50
  5. Step 5: Solve for x
    x = 138,747,805,950.50/420,428.57
  6. Step 6: Final answer
    x = 330,015.17

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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.