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Finding the Fourth Proportional to 293,563.71, 405,197.64 and 172,743.84

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Solution

The fourth proportional to 293,563.71, 405,197.64 and 172,743.84 is: 238,433.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,563.71 : 405,197.64 = 172,743.84 : x
  2. Step 2: Convert to fraction form
    293,563.71/405,197.64 = 172,743.84/x
  3. Step 3: Cross multiply
    293,563.71x = 405,197.64 × 172,743.84
  4. Step 4: Simplify right side
    293,563.71x = 69,995,396,292.54
  5. Step 5: Solve for x
    x = 69,995,396,292.54/293,563.71
  6. Step 6: Final answer
    x = 238,433.41

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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.