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Finding the Fourth Proportional to 297,042.71, 409,940.62 and 169,715.57

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Solution

The fourth proportional to 297,042.71, 409,940.62 and 169,715.57 is: 234,219.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,042.71 : 409,940.62 = 169,715.57 : x
  2. Step 2: Convert to fraction form
    297,042.71/409,940.62 = 169,715.57/x
  3. Step 3: Cross multiply
    297,042.71x = 409,940.62 × 169,715.57
  4. Step 4: Simplify right side
    297,042.71x = 69,573,305,989.45
  5. Step 5: Solve for x
    x = 69,573,305,989.45/297,042.71
  6. Step 6: Final answer
    x = 234,219.87

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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.