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Finding the Fourth Proportional to 457,344.73, 685,751.14 and 173,057.23

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Solution

The fourth proportional to 457,344.73, 685,751.14 and 173,057.23 is: 259,485.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,344.73 : 685,751.14 = 173,057.23 : x
  2. Step 2: Convert to fraction form
    457,344.73/685,751.14 = 173,057.23/x
  3. Step 3: Cross multiply
    457,344.73x = 685,751.14 × 173,057.23
  4. Step 4: Simplify right side
    457,344.73x = 118,674,192,757.74
  5. Step 5: Solve for x
    x = 118,674,192,757.74/457,344.73
  6. Step 6: Final answer
    x = 259,485.21

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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.