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Finding the Fourth Proportional to 462,880.72, 638,745.26 and 258,896.30

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Solution

The fourth proportional to 462,880.72, 638,745.26 and 258,896.30 is: 357,260.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,880.72 : 638,745.26 = 258,896.30 : x
  2. Step 2: Convert to fraction form
    462,880.72/638,745.26 = 258,896.30/x
  3. Step 3: Cross multiply
    462,880.72x = 638,745.26 × 258,896.30
  4. Step 4: Simplify right side
    462,880.72x = 165,368,784,456.54
  5. Step 5: Solve for x
    x = 165,368,784,456.54/462,880.72
  6. Step 6: Final answer
    x = 357,260.04

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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.