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Finding the Fourth Proportional to 274,019.40, 411,086.61 and 116,244.36

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Solution

The fourth proportional to 274,019.40, 411,086.61 and 116,244.36 is: 174,390.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,019.40 : 411,086.61 = 116,244.36 : x
  2. Step 2: Convert to fraction form
    274,019.40/411,086.61 = 116,244.36/x
  3. Step 3: Cross multiply
    274,019.40x = 411,086.61 × 116,244.36
  4. Step 4: Simplify right side
    274,019.40x = 47,786,499,884.02
  5. Step 5: Solve for x
    x = 47,786,499,884.02/274,019.40
  6. Step 6: Final answer
    x = 174,390.94

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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.