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Finding the Fourth Proportional to 296,550.86, 409,245.82 and 162,414.86

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Solution

The fourth proportional to 296,550.86, 409,245.82 and 162,414.86 is: 224,135.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,550.86 : 409,245.82 = 162,414.86 : x
  2. Step 2: Convert to fraction form
    296,550.86/409,245.82 = 162,414.86/x
  3. Step 3: Cross multiply
    296,550.86x = 409,245.82 × 162,414.86
  4. Step 4: Simplify right side
    296,550.86x = 66,467,600,108.62
  5. Step 5: Solve for x
    x = 66,467,600,108.62/296,550.86
  6. Step 6: Final answer
    x = 224,135.59

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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.