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Finding the Fourth Proportional to 306,993.80, 460,650.60 and 232,091.82

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Solution

The fourth proportional to 306,993.80, 460,650.60 and 232,091.82 is: 348,258.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,993.80 : 460,650.60 = 232,091.82 : x
  2. Step 2: Convert to fraction form
    306,993.80/460,650.60 = 232,091.82/x
  3. Step 3: Cross multiply
    306,993.80x = 460,650.60 × 232,091.82
  4. Step 4: Simplify right side
    306,993.80x = 106,913,236,138.09
  5. Step 5: Solve for x
    x = 106,913,236,138.09/306,993.80
  6. Step 6: Final answer
    x = 348,258.62

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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.