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Finding the Fourth Proportional to 337,197, 465,345.23 and 193,956.87

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Solution

The fourth proportional to 337,197, 465,345.23 and 193,956.87 is: 267,668.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,197 : 465,345.23 = 193,956.87 : x
  2. Step 2: Convert to fraction form
    337,197/465,345.23 = 193,956.87/x
  3. Step 3: Cross multiply
    337,197x = 465,345.23 × 193,956.87
  4. Step 4: Simplify right side
    337,197x = 90,256,903,310.45
  5. Step 5: Solve for x
    x = 90,256,903,310.45/337,197
  6. Step 6: Final answer
    x = 267,668.17

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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.