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Finding the Fourth Proportional to 457,296.80, 685,945.20 and 124,872.80

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Solution

The fourth proportional to 457,296.80, 685,945.20 and 124,872.80 is: 187,309.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,296.80 : 685,945.20 = 124,872.80 : x
  2. Step 2: Convert to fraction form
    457,296.80/685,945.20 = 124,872.80/x
  3. Step 3: Cross multiply
    457,296.80x = 685,945.20 × 124,872.80
  4. Step 4: Simplify right side
    457,296.80x = 85,655,897,770.56
  5. Step 5: Solve for x
    x = 85,655,897,770.56/457,296.80
  6. Step 6: Final answer
    x = 187,309.20

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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.