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Finding the Fourth Proportional to 462,745.98, 638,594.28 and 271,762.56

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Solution

The fourth proportional to 462,745.98, 638,594.28 and 271,762.56 is: 375,035.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,745.98 : 638,594.28 = 271,762.56 : x
  2. Step 2: Convert to fraction form
    462,745.98/638,594.28 = 271,762.56/x
  3. Step 3: Cross multiply
    462,745.98x = 638,594.28 × 271,762.56
  4. Step 4: Simplify right side
    462,745.98x = 173,546,016,334.16
  5. Step 5: Solve for x
    x = 173,546,016,334.16/462,745.98
  6. Step 6: Final answer
    x = 375,035.17

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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.