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Finding the Fourth Proportional to 289,114.94, 398,793.50 and 231,891.57

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Solution

The fourth proportional to 289,114.94, 398,793.50 and 231,891.57 is: 319,861.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,114.94 : 398,793.50 = 231,891.57 : x
  2. Step 2: Convert to fraction form
    289,114.94/398,793.50 = 231,891.57/x
  3. Step 3: Cross multiply
    289,114.94x = 398,793.50 × 231,891.57
  4. Step 4: Simplify right side
    289,114.94x = 92,476,850,820.80
  5. Step 5: Solve for x
    x = 92,476,850,820.80/289,114.94
  6. Step 6: Final answer
    x = 319,861.89

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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.