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Finding the Fourth Proportional to 293,814, 440,760.21 and 116,279.49

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Solution

The fourth proportional to 293,814, 440,760.21 and 116,279.49 is: 174,434.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,814 : 440,760.21 = 116,279.49 : x
  2. Step 2: Convert to fraction form
    293,814/440,760.21 = 116,279.49/x
  3. Step 3: Cross multiply
    293,814x = 440,760.21 × 116,279.49
  4. Step 4: Simplify right side
    293,814x = 51,251,373,647.90
  5. Step 5: Solve for x
    x = 51,251,373,647.90/293,814
  6. Step 6: Final answer
    x = 174,434.76

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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.