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Finding the Fourth Proportional to 460,188.56, 690,447.96 and 179,906.96

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Solution

The fourth proportional to 460,188.56, 690,447.96 and 179,906.96 is: 269,924.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,188.56 : 690,447.96 = 179,906.96 : x
  2. Step 2: Convert to fraction form
    460,188.56/690,447.96 = 179,906.96/x
  3. Step 3: Cross multiply
    460,188.56x = 690,447.96 × 179,906.96
  4. Step 4: Simplify right side
    460,188.56x = 124,216,393,521.80
  5. Step 5: Solve for x
    x = 124,216,393,521.80/460,188.56
  6. Step 6: Final answer
    x = 269,924.99

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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.