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Finding the Fourth Proportional to 294,204.42, 440,919.27 and 116,614.62

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Solution

The fourth proportional to 294,204.42, 440,919.27 and 116,614.62 is: 174,768.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,204.42 : 440,919.27 = 116,614.62 : x
  2. Step 2: Convert to fraction form
    294,204.42/440,919.27 = 116,614.62/x
  3. Step 3: Cross multiply
    294,204.42x = 440,919.27 × 116,614.62
  4. Step 4: Simplify right side
    294,204.42x = 51,417,633,121.73
  5. Step 5: Solve for x
    x = 51,417,633,121.73/294,204.42
  6. Step 6: Final answer
    x = 174,768.39

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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.