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Finding the Fourth Proportional to 299,710.73, 413,629.42 and 163,765.35

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Solution

The fourth proportional to 299,710.73, 413,629.42 and 163,765.35 is: 226,011.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,710.73 : 413,629.42 = 163,765.35 : x
  2. Step 2: Convert to fraction form
    299,710.73/413,629.42 = 163,765.35/x
  3. Step 3: Cross multiply
    299,710.73x = 413,629.42 × 163,765.35
  4. Step 4: Simplify right side
    299,710.73x = 67,738,166,736.60
  5. Step 5: Solve for x
    x = 67,738,166,736.60/299,710.73
  6. Step 6: Final answer
    x = 226,011.82

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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.