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Finding the Fourth Proportional to 465,639.13, 642,635.26 and 258,928.13

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Solution

The fourth proportional to 465,639.13, 642,635.26 and 258,928.13 is: 357,350.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,639.13 : 642,635.26 = 258,928.13 : x
  2. Step 2: Convert to fraction form
    465,639.13/642,635.26 = 258,928.13/x
  3. Step 3: Cross multiply
    465,639.13x = 642,635.26 × 258,928.13
  4. Step 4: Simplify right side
    465,639.13x = 166,396,345,817.05
  5. Step 5: Solve for x
    x = 166,396,345,817.05/465,639.13
  6. Step 6: Final answer
    x = 357,350.44

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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.