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Finding the Fourth Proportional to 297,517.38, 410,516.24 and 176,696.57

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Solution

The fourth proportional to 297,517.38, 410,516.24 and 176,696.57 is: 243,806.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,517.38 : 410,516.24 = 176,696.57 : x
  2. Step 2: Convert to fraction form
    297,517.38/410,516.24 = 176,696.57/x
  3. Step 3: Cross multiply
    297,517.38x = 410,516.24 × 176,696.57
  4. Step 4: Simplify right side
    297,517.38x = 72,536,809,484.72
  5. Step 5: Solve for x
    x = 72,536,809,484.72/297,517.38
  6. Step 6: Final answer
    x = 243,806.97

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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.