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Finding the Fourth Proportional to 462,448.47, 638,174.06 and 271,424.96

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Solution

The fourth proportional to 462,448.47, 638,174.06 and 271,424.96 is: 374,563.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,448.47 : 638,174.06 = 271,424.96 : x
  2. Step 2: Convert to fraction form
    462,448.47/638,174.06 = 271,424.96/x
  3. Step 3: Cross multiply
    462,448.47x = 638,174.06 × 271,424.96
  4. Step 4: Simplify right side
    462,448.47x = 173,216,365,517.67
  5. Step 5: Solve for x
    x = 173,216,365,517.67/462,448.47
  6. Step 6: Final answer
    x = 374,563.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.