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Finding the Fourth Proportional to 392,294.49, 588,441.72 and 111,804.45

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Solution

The fourth proportional to 392,294.49, 588,441.72 and 111,804.45 is: 167,706.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,294.49 : 588,441.72 = 111,804.45 : x
  2. Step 2: Convert to fraction form
    392,294.49/588,441.72 = 111,804.45/x
  3. Step 3: Cross multiply
    392,294.49x = 588,441.72 × 111,804.45
  4. Step 4: Simplify right side
    392,294.49x = 65,790,402,861.65
  5. Step 5: Solve for x
    x = 65,790,402,861.65/392,294.49
  6. Step 6: Final answer
    x = 167,706.67

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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.