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Finding the Fourth Proportional to 413,846.54, 620,781.50 and 114,327.17

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Solution

The fourth proportional to 413,846.54, 620,781.50 and 114,327.17 is: 171,493.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,846.54 : 620,781.50 = 114,327.17 : x
  2. Step 2: Convert to fraction form
    413,846.54/620,781.50 = 114,327.17/x
  3. Step 3: Cross multiply
    413,846.54x = 620,781.50 × 114,327.17
  4. Step 4: Simplify right side
    413,846.54x = 70,972,189,265.27
  5. Step 5: Solve for x
    x = 70,972,189,265.27/413,846.54
  6. Step 6: Final answer
    x = 171,493.98

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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.