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Finding the Fourth Proportional to 274,378.20, 411,774.66 and 116,717.64

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Solution

The fourth proportional to 274,378.20, 411,774.66 and 116,717.64 is: 175,164.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,378.20 : 411,774.66 = 116,717.64 : x
  2. Step 2: Convert to fraction form
    274,378.20/411,774.66 = 116,717.64/x
  3. Step 3: Cross multiply
    274,378.20x = 411,774.66 × 116,717.64
  4. Step 4: Simplify right side
    274,378.20x = 48,061,366,527.00
  5. Step 5: Solve for x
    x = 48,061,366,527.00/274,378.20
  6. Step 6: Final answer
    x = 175,164.67

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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.