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Finding the Fourth Proportional to 460,597.46, 690,896.21 and 179,917.88

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Solution

The fourth proportional to 460,597.46, 690,896.21 and 179,917.88 is: 269,876.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,597.46 : 690,896.21 = 179,917.88 : x
  2. Step 2: Convert to fraction form
    460,597.46/690,896.21 = 179,917.88/x
  3. Step 3: Cross multiply
    460,597.46x = 690,896.21 × 179,917.88
  4. Step 4: Simplify right side
    460,597.46x = 124,304,577,049.16
  5. Step 5: Solve for x
    x = 124,304,577,049.16/460,597.46
  6. Step 6: Final answer
    x = 269,876.82

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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.