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Finding the Fourth Proportional to 306,832.95, 460,091.81 and 164,797.72

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Solution

The fourth proportional to 306,832.95, 460,091.81 and 164,797.72 is: 247,111.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,832.95 : 460,091.81 = 164,797.72 : x
  2. Step 2: Convert to fraction form
    306,832.95/460,091.81 = 164,797.72/x
  3. Step 3: Cross multiply
    306,832.95x = 460,091.81 × 164,797.72
  4. Step 4: Simplify right side
    306,832.95x = 75,822,080,540.44
  5. Step 5: Solve for x
    x = 75,822,080,540.44/306,832.95
  6. Step 6: Final answer
    x = 247,111.92

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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.