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Finding the Fourth Proportional to 293,172, 404,609.76 and 165,846.48

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Solution

The fourth proportional to 293,172, 404,609.76 and 165,846.48 is: 228,886.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,172 : 404,609.76 = 165,846.48 : x
  2. Step 2: Convert to fraction form
    293,172/404,609.76 = 165,846.48/x
  3. Step 3: Cross multiply
    293,172x = 404,609.76 × 165,846.48
  4. Step 4: Simplify right side
    293,172x = 67,103,104,469.64
  5. Step 5: Solve for x
    x = 67,103,104,469.64/293,172
  6. Step 6: Final answer
    x = 228,886.47

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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.