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Finding the Fourth Proportional to 297,149.94, 409,967.19 and 169,735.32

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Solution

The fourth proportional to 297,149.94, 409,967.19 and 169,735.32 is: 234,177.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,149.94 : 409,967.19 = 169,735.32 : x
  2. Step 2: Convert to fraction form
    297,149.94/409,967.19 = 169,735.32/x
  3. Step 3: Cross multiply
    297,149.94x = 409,967.19 × 169,735.32
  4. Step 4: Simplify right side
    297,149.94x = 69,585,912,184.15
  5. Step 5: Solve for x
    x = 69,585,912,184.15/297,149.94
  6. Step 6: Final answer
    x = 234,177.78

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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.