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Finding the Fourth Proportional to 304,511.04, 419,947.56 and 261,477

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Solution

The fourth proportional to 304,511.04, 419,947.56 and 261,477 is: 360,599.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,511.04 : 419,947.56 = 261,477 : x
  2. Step 2: Convert to fraction form
    304,511.04/419,947.56 = 261,477/x
  3. Step 3: Cross multiply
    304,511.04x = 419,947.56 × 261,477
  4. Step 4: Simplify right side
    304,511.04x = 109,806,628,146.12
  5. Step 5: Solve for x
    x = 109,806,628,146.12/304,511.04
  6. Step 6: Final answer
    x = 360,599.83

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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.