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Finding the Fourth Proportional to 274,258.24, 378,471.36 and 155,026.24

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Solution

The fourth proportional to 274,258.24, 378,471.36 and 155,026.24 is: 213,933.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,258.24 : 378,471.36 = 155,026.24 : x
  2. Step 2: Convert to fraction form
    274,258.24/378,471.36 = 155,026.24/x
  3. Step 3: Cross multiply
    274,258.24x = 378,471.36 × 155,026.24
  4. Step 4: Simplify right side
    274,258.24x = 58,672,991,888.49
  5. Step 5: Solve for x
    x = 58,672,991,888.49/274,258.24
  6. Step 6: Final answer
    x = 213,933.38

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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.