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Finding the Fourth Proportional to 293,896.40, 440,959.80 and 106,926.80

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Solution

The fourth proportional to 293,896.40, 440,959.80 and 106,926.80 is: 160,432.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,896.40 : 440,959.80 = 106,926.80 : x
  2. Step 2: Convert to fraction form
    293,896.40/440,959.80 = 106,926.80/x
  3. Step 3: Cross multiply
    293,896.40x = 440,959.80 × 106,926.80
  4. Step 4: Simplify right side
    293,896.40x = 47,150,420,342.64
  5. Step 5: Solve for x
    x = 47,150,420,342.64/293,896.40
  6. Step 6: Final answer
    x = 160,432.11

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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.