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Finding the Fourth Proportional to 274,522.86, 411,649.05 and 114,550.38

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Solution

The fourth proportional to 274,522.86, 411,649.05 and 114,550.38 is: 171,769.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,522.86 : 411,649.05 = 114,550.38 : x
  2. Step 2: Convert to fraction form
    274,522.86/411,649.05 = 114,550.38/x
  3. Step 3: Cross multiply
    274,522.86x = 411,649.05 × 114,550.38
  4. Step 4: Simplify right side
    274,522.86x = 47,154,555,104.14
  5. Step 5: Solve for x
    x = 47,154,555,104.14/274,522.86
  6. Step 6: Final answer
    x = 171,769.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.