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Finding the Fourth Proportional to 293,846.82, 440,775.09 and 83,476.86

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Solution

The fourth proportional to 293,846.82, 440,775.09 and 83,476.86 is: 125,216.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,846.82 : 440,775.09 = 83,476.86 : x
  2. Step 2: Convert to fraction form
    293,846.82/440,775.09 = 83,476.86/x
  3. Step 3: Cross multiply
    293,846.82x = 440,775.09 × 83,476.86
  4. Step 4: Simplify right side
    293,846.82x = 36,794,520,479.42
  5. Step 5: Solve for x
    x = 36,794,520,479.42/293,846.82
  6. Step 6: Final answer
    x = 125,216.67

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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.