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Finding the Fourth Proportional to 262,462.40, 393,755.92 and 84,969.44

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Solution

The fourth proportional to 262,462.40, 393,755.92 and 84,969.44 is: 127,474.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,462.40 : 393,755.92 = 84,969.44 : x
  2. Step 2: Convert to fraction form
    262,462.40/393,755.92 = 84,969.44/x
  3. Step 3: Cross multiply
    262,462.40x = 393,755.92 × 84,969.44
  4. Step 4: Simplify right side
    262,462.40x = 33,457,220,019.08
  5. Step 5: Solve for x
    x = 33,457,220,019.08/262,462.40
  6. Step 6: Final answer
    x = 127,474.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.