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Finding the Fourth Proportional to 380,179.53, 523,912.59 and 289,391.67

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Solution

The fourth proportional to 380,179.53, 523,912.59 and 289,391.67 is: 398,800.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,179.53 : 523,912.59 = 289,391.67 : x
  2. Step 2: Convert to fraction form
    380,179.53/523,912.59 = 289,391.67/x
  3. Step 3: Cross multiply
    380,179.53x = 523,912.59 × 289,391.67
  4. Step 4: Simplify right side
    380,179.53x = 151,615,939,354.13
  5. Step 5: Solve for x
    x = 151,615,939,354.13/380,179.53
  6. Step 6: Final answer
    x = 398,800.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.