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Finding the Fourth Proportional to 297,095.25, 409,992.12 and 169,770.54

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Solution

The fourth proportional to 297,095.25, 409,992.12 and 169,770.54 is: 234,283.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,095.25 : 409,992.12 = 169,770.54 : x
  2. Step 2: Convert to fraction form
    297,095.25/409,992.12 = 169,770.54/x
  3. Step 3: Cross multiply
    297,095.25x = 409,992.12 × 169,770.54
  4. Step 4: Simplify right side
    297,095.25x = 69,604,583,608.14
  5. Step 5: Solve for x
    x = 69,604,583,608.14/297,095.25
  6. Step 6: Final answer
    x = 234,283.73

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1.5x scale

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.