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Finding the Fourth Proportional to 462,448.72, 638,174.41 and 271,425.20

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Solution

The fourth proportional to 462,448.72, 638,174.41 and 271,425.20 is: 374,563.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,448.72 : 638,174.41 = 271,425.20 : x
  2. Step 2: Convert to fraction form
    462,448.72/638,174.41 = 271,425.20/x
  3. Step 3: Cross multiply
    462,448.72x = 638,174.41 × 271,425.20
  4. Step 4: Simplify right side
    462,448.72x = 173,216,617,786.01
  5. Step 5: Solve for x
    x = 173,216,617,786.01/462,448.72
  6. Step 6: Final answer
    x = 374,563.95

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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.