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Finding the Fourth Proportional to 297,310.96, 410,188.62 and 169,895.80

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Solution

The fourth proportional to 297,310.96, 410,188.62 and 169,895.80 is: 234,398.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,310.96 : 410,188.62 = 169,895.80 : x
  2. Step 2: Convert to fraction form
    297,310.96/410,188.62 = 169,895.80/x
  3. Step 3: Cross multiply
    297,310.96x = 410,188.62 × 169,895.80
  4. Step 4: Simplify right side
    297,310.96x = 69,689,323,745.80
  5. Step 5: Solve for x
    x = 69,689,323,745.80/297,310.96
  6. Step 6: Final answer
    x = 234,398.77

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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.