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Finding the Fourth Proportional to 404,493.20, 558,311.64 and 234,782

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Solution

The fourth proportional to 404,493.20, 558,311.64 and 234,782 is: 324,063.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,493.20 : 558,311.64 = 234,782 : x
  2. Step 2: Convert to fraction form
    404,493.20/558,311.64 = 234,782/x
  3. Step 3: Cross multiply
    404,493.20x = 558,311.64 × 234,782
  4. Step 4: Simplify right side
    404,493.20x = 131,081,523,462.48
  5. Step 5: Solve for x
    x = 131,081,523,462.48/404,493.20
  6. Step 6: Final answer
    x = 324,063.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.