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Finding the Fourth Proportional to 297,698.49, 410,818.94 and 161,734.52

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Solution

The fourth proportional to 297,698.49, 410,818.94 and 161,734.52 is: 223,190.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,698.49 : 410,818.94 = 161,734.52 : x
  2. Step 2: Convert to fraction form
    297,698.49/410,818.94 = 161,734.52/x
  3. Step 3: Cross multiply
    297,698.49x = 410,818.94 × 161,734.52
  4. Step 4: Simplify right side
    297,698.49x = 66,443,604,892.69
  5. Step 5: Solve for x
    x = 66,443,604,892.69/297,698.49
  6. Step 6: Final answer
    x = 223,190.94

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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.