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Finding the Fourth Proportional to 306,510.56, 422,977.92 and 177,454.48

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Solution

The fourth proportional to 306,510.56, 422,977.92 and 177,454.48 is: 244,883.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,510.56 : 422,977.92 = 177,454.48 : x
  2. Step 2: Convert to fraction form
    306,510.56/422,977.92 = 177,454.48/x
  3. Step 3: Cross multiply
    306,510.56x = 422,977.92 × 177,454.48
  4. Step 4: Simplify right side
    306,510.56x = 75,059,326,845.08
  5. Step 5: Solve for x
    x = 75,059,326,845.08/306,510.56
  6. Step 6: Final answer
    x = 244,883.33

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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.