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Finding the Fourth Proportional to 457,846.54, 631,751.19 and 305,112.73

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Solution

The fourth proportional to 457,846.54, 631,751.19 and 305,112.73 is: 421,004.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,846.54 : 631,751.19 = 305,112.73 : x
  2. Step 2: Convert to fraction form
    457,846.54/631,751.19 = 305,112.73/x
  3. Step 3: Cross multiply
    457,846.54x = 631,751.19 × 305,112.73
  4. Step 4: Simplify right side
    457,846.54x = 192,755,330,261.65
  5. Step 5: Solve for x
    x = 192,755,330,261.65/457,846.54
  6. Step 6: Final answer
    x = 421,004.23

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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.