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Finding the Fourth Proportional to 433,778.64, 598,614.38 and 242,791.98

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Solution

The fourth proportional to 433,778.64, 598,614.38 and 242,791.98 is: 335,052.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,778.64 : 598,614.38 = 242,791.98 : x
  2. Step 2: Convert to fraction form
    433,778.64/598,614.38 = 242,791.98/x
  3. Step 3: Cross multiply
    433,778.64x = 598,614.38 × 242,791.98
  4. Step 4: Simplify right side
    433,778.64x = 145,338,770,576.67
  5. Step 5: Solve for x
    x = 145,338,770,576.67/433,778.64
  6. Step 6: Final answer
    x = 335,052.85

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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.