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Finding the Fourth Proportional to 278,523.56, 384,450.00 and 177,921.56

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Solution

The fourth proportional to 278,523.56, 384,450.00 and 177,921.56 is: 245,587.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,523.56 : 384,450.00 = 177,921.56 : x
  2. Step 2: Convert to fraction form
    278,523.56/384,450.00 = 177,921.56/x
  3. Step 3: Cross multiply
    278,523.56x = 384,450.00 × 177,921.56
  4. Step 4: Simplify right side
    278,523.56x = 68,401,944,035.92
  5. Step 5: Solve for x
    x = 68,401,944,035.92/278,523.56
  6. Step 6: Final answer
    x = 245,587.64

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1.5x scale

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.