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Finding the Fourth Proportional to 597,902.63, 825,138.45 and 343,270.22

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Solution

The fourth proportional to 597,902.63, 825,138.45 and 343,270.22 is: 473,731.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,902.63 : 825,138.45 = 343,270.22 : x
  2. Step 2: Convert to fraction form
    597,902.63/825,138.45 = 343,270.22/x
  3. Step 3: Cross multiply
    597,902.63x = 825,138.45 × 343,270.22
  4. Step 4: Simplify right side
    597,902.63x = 283,245,453,136.27
  5. Step 5: Solve for x
    x = 283,245,453,136.27/597,902.63
  6. Step 6: Final answer
    x = 473,731.74

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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.