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Finding the Fourth Proportional to 547,697.68, 755,814.24 and 305,983.60

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Solution

The fourth proportional to 547,697.68, 755,814.24 and 305,983.60 is: 422,252.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,697.68 : 755,814.24 = 305,983.60 : x
  2. Step 2: Convert to fraction form
    547,697.68/755,814.24 = 305,983.60/x
  3. Step 3: Cross multiply
    547,697.68x = 755,814.24 × 305,983.60
  4. Step 4: Simplify right side
    547,697.68x = 231,266,762,086.46
  5. Step 5: Solve for x
    x = 231,266,762,086.46/547,697.68
  6. Step 6: Final answer
    x = 422,252.59

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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.