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Finding the Fourth Proportional to 293,265.44, 404,706.36 and 165,938.48

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Solution

The fourth proportional to 293,265.44, 404,706.36 and 165,938.48 is: 228,995.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,265.44 : 404,706.36 = 165,938.48 : x
  2. Step 2: Convert to fraction form
    293,265.44/404,706.36 = 165,938.48/x
  3. Step 3: Cross multiply
    293,265.44x = 404,706.36 × 165,938.48
  4. Step 4: Simplify right side
    293,265.44x = 67,156,358,224.73
  5. Step 5: Solve for x
    x = 67,156,358,224.73/293,265.44
  6. Step 6: Final answer
    x = 228,995.13

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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.