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Finding the Fourth Proportional to 380,469.24, 525,046.50 and 219,323.39

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Solution

The fourth proportional to 380,469.24, 525,046.50 and 219,323.39 is: 302,665.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,469.24 : 525,046.50 = 219,323.39 : x
  2. Step 2: Convert to fraction form
    380,469.24/525,046.50 = 219,323.39/x
  3. Step 3: Cross multiply
    380,469.24x = 525,046.50 × 219,323.39
  4. Step 4: Simplify right side
    380,469.24x = 115,154,975,662.40
  5. Step 5: Solve for x
    x = 115,154,975,662.40/380,469.24
  6. Step 6: Final answer
    x = 302,665.67

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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.