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Finding the Fourth Proportional to 274,317.80, 411,299.10 and 116,503.40

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Solution

The fourth proportional to 274,317.80, 411,299.10 and 116,503.40 is: 174,679.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,317.80 : 411,299.10 = 116,503.40 : x
  2. Step 2: Convert to fraction form
    274,317.80/411,299.10 = 116,503.40/x
  3. Step 3: Cross multiply
    274,317.80x = 411,299.10 × 116,503.40
  4. Step 4: Simplify right side
    274,317.80x = 47,917,743,566.94
  5. Step 5: Solve for x
    x = 47,917,743,566.94/274,317.80
  6. Step 6: Final answer
    x = 174,679.67

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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.