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Finding the Fourth Proportional to 274,546.98, 411,808.20 and 74,867.40

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Solution

The fourth proportional to 274,546.98, 411,808.20 and 74,867.40 is: 112,297.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,546.98 : 411,808.20 = 74,867.40 : x
  2. Step 2: Convert to fraction form
    274,546.98/411,808.20 = 74,867.40/x
  3. Step 3: Cross multiply
    274,546.98x = 411,808.20 × 74,867.40
  4. Step 4: Simplify right side
    274,546.98x = 30,831,009,232.68
  5. Step 5: Solve for x
    x = 30,831,009,232.68/274,546.98
  6. Step 6: Final answer
    x = 112,297.75

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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.