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Finding the Fourth Proportional to 297,694.32, 410,805.72 and 176,846.64

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Solution

The fourth proportional to 297,694.32, 410,805.72 and 176,846.64 is: 244,040.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,694.32 : 410,805.72 = 176,846.64 : x
  2. Step 2: Convert to fraction form
    297,694.32/410,805.72 = 176,846.64/x
  3. Step 3: Cross multiply
    297,694.32x = 410,805.72 × 176,846.64
  4. Step 4: Simplify right side
    297,694.32x = 72,649,611,274.78
  5. Step 5: Solve for x
    x = 72,649,611,274.78/297,694.32
  6. Step 6: Final answer
    x = 244,040.97

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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.