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Finding the Fourth Proportional to 306,093.78, 422,407.17 and 171,957.78

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Solution

The fourth proportional to 306,093.78, 422,407.17 and 171,957.78 is: 237,300.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,093.78 : 422,407.17 = 171,957.78 : x
  2. Step 2: Convert to fraction form
    306,093.78/422,407.17 = 171,957.78/x
  3. Step 3: Cross multiply
    306,093.78x = 422,407.17 × 171,957.78
  4. Step 4: Simplify right side
    306,093.78x = 72,636,199,209.28
  5. Step 5: Solve for x
    x = 72,636,199,209.28/306,093.78
  6. Step 6: Final answer
    x = 237,300.47

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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.