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Finding the Fourth Proportional to 297,517.76, 410,567.56 and 161,552.04

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Solution

The fourth proportional to 297,517.76, 410,567.56 and 161,552.04 is: 222,938.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,517.76 : 410,567.56 = 161,552.04 : x
  2. Step 2: Convert to fraction form
    297,517.76/410,567.56 = 161,552.04/x
  3. Step 3: Cross multiply
    297,517.76x = 410,567.56 × 161,552.04
  4. Step 4: Simplify right side
    297,517.76x = 66,328,026,875.82
  5. Step 5: Solve for x
    x = 66,328,026,875.82/297,517.76
  6. Step 6: Final answer
    x = 222,938.04

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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.