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Finding the Fourth Proportional to 598,094.38, 824,743.22 and 393,884.47

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Solution

The fourth proportional to 598,094.38, 824,743.22 and 393,884.47 is: 543,147.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,094.38 : 824,743.22 = 393,884.47 : x
  2. Step 2: Convert to fraction form
    598,094.38/824,743.22 = 393,884.47/x
  3. Step 3: Cross multiply
    598,094.38x = 824,743.22 × 393,884.47
  4. Step 4: Simplify right side
    598,094.38x = 324,853,545,157.30
  5. Step 5: Solve for x
    x = 324,853,545,157.30/598,094.38
  6. Step 6: Final answer
    x = 543,147.63

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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.