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Finding the Fourth Proportional to 297,206.50, 410,144.93 and 169,884.83

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Solution

The fourth proportional to 297,206.50, 410,144.93 and 169,884.83 is: 234,441.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,206.50 : 410,144.93 = 169,884.83 : x
  2. Step 2: Convert to fraction form
    297,206.50/410,144.93 = 169,884.83/x
  3. Step 3: Cross multiply
    297,206.50x = 410,144.93 × 169,884.83
  4. Step 4: Simplify right side
    297,206.50x = 69,677,401,708.41
  5. Step 5: Solve for x
    x = 69,677,401,708.41/297,206.50
  6. Step 6: Final answer
    x = 234,441.04

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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.