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Finding the Fourth Proportional to 299,710.74, 413,629.42 and 163,765.34

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Solution

The fourth proportional to 299,710.74, 413,629.42 and 163,765.34 is: 226,011.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,710.74 : 413,629.42 = 163,765.34 : x
  2. Step 2: Convert to fraction form
    299,710.74/413,629.42 = 163,765.34/x
  3. Step 3: Cross multiply
    299,710.74x = 413,629.42 × 163,765.34
  4. Step 4: Simplify right side
    299,710.74x = 67,738,162,600.30
  5. Step 5: Solve for x
    x = 67,738,162,600.30/299,710.74
  6. Step 6: Final answer
    x = 226,011.80

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