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Finding the Fourth Proportional to 443,896.58, 666,342.43 and 177,842.57

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Solution

The fourth proportional to 443,896.58, 666,342.43 and 177,842.57 is: 266,963.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,896.58 : 666,342.43 = 177,842.57 : x
  2. Step 2: Convert to fraction form
    443,896.58/666,342.43 = 177,842.57/x
  3. Step 3: Cross multiply
    443,896.58x = 666,342.43 × 177,842.57
  4. Step 4: Simplify right side
    443,896.58x = 118,504,046,474.93
  5. Step 5: Solve for x
    x = 118,504,046,474.93/443,896.58
  6. Step 6: Final answer
    x = 266,963.19

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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.