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Finding the Fourth Proportional to 297,147.30, 410,091.27 and 169,798.14

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Solution

The fourth proportional to 297,147.30, 410,091.27 and 169,798.14 is: 234,337.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,147.30 : 410,091.27 = 169,798.14 : x
  2. Step 2: Convert to fraction form
    297,147.30/410,091.27 = 169,798.14/x
  3. Step 3: Cross multiply
    297,147.30x = 410,091.27 × 169,798.14
  4. Step 4: Simplify right side
    297,147.30x = 69,632,734,876.24
  5. Step 5: Solve for x
    x = 69,632,734,876.24/297,147.30
  6. Step 6: Final answer
    x = 234,337.43

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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.