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Finding the Fourth Proportional to 275,941.64, 380,498.10 and 186,362.12

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Solution

The fourth proportional to 275,941.64, 380,498.10 and 186,362.12 is: 256,976.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,941.64 : 380,498.10 = 186,362.12 : x
  2. Step 2: Convert to fraction form
    275,941.64/380,498.10 = 186,362.12/x
  3. Step 3: Cross multiply
    275,941.64x = 380,498.10 × 186,362.12
  4. Step 4: Simplify right side
    275,941.64x = 70,910,432,571.97
  5. Step 5: Solve for x
    x = 70,910,432,571.97/275,941.64
  6. Step 6: Final answer
    x = 256,976.19

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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.