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Finding the Fourth Proportional to 380,984.46, 525,738.36 and 217,608.88

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Solution

The fourth proportional to 380,984.46, 525,738.36 and 217,608.88 is: 300,288.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,984.46 : 525,738.36 = 217,608.88 : x
  2. Step 2: Convert to fraction form
    380,984.46/525,738.36 = 217,608.88/x
  3. Step 3: Cross multiply
    380,984.46x = 525,738.36 × 217,608.88
  4. Step 4: Simplify right side
    380,984.46x = 114,405,335,692.64
  5. Step 5: Solve for x
    x = 114,405,335,692.64/380,984.46
  6. Step 6: Final answer
    x = 300,288.72

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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.