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Finding the Fourth Proportional to 297,206.54, 410,144.97 and 169,884.86

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Solution

The fourth proportional to 297,206.54, 410,144.97 and 169,884.86 is: 234,441.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,206.54 : 410,144.97 = 169,884.86 : x
  2. Step 2: Convert to fraction form
    297,206.54/410,144.97 = 169,884.86/x
  3. Step 3: Cross multiply
    297,206.54x = 410,144.97 × 169,884.86
  4. Step 4: Simplify right side
    297,206.54x = 69,677,421,833.52
  5. Step 5: Solve for x
    x = 69,677,421,833.52/297,206.54
  6. Step 6: Final answer
    x = 234,441.08

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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.