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Finding the Fourth Proportional to 462,517.02, 638,224.52 and 258,546.47

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Solution

The fourth proportional to 462,517.02, 638,224.52 and 258,546.47 is: 356,766.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,517.02 : 638,224.52 = 258,546.47 : x
  2. Step 2: Convert to fraction form
    462,517.02/638,224.52 = 258,546.47/x
  3. Step 3: Cross multiply
    462,517.02x = 638,224.52 × 258,546.47
  4. Step 4: Simplify right side
    462,517.02x = 165,010,692,229.59
  5. Step 5: Solve for x
    x = 165,010,692,229.59/462,517.02
  6. Step 6: Final answer
    x = 356,766.75

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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.