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Finding the Fourth Proportional to 379,406.44, 569,171.43 and 177,204.75

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Solution

The fourth proportional to 379,406.44, 569,171.43 and 177,204.75 is: 265,835.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,406.44 : 569,171.43 = 177,204.75 : x
  2. Step 2: Convert to fraction form
    379,406.44/569,171.43 = 177,204.75/x
  3. Step 3: Cross multiply
    379,406.44x = 569,171.43 × 177,204.75
  4. Step 4: Simplify right side
    379,406.44x = 100,859,880,960.29
  5. Step 5: Solve for x
    x = 100,859,880,960.29/379,406.44
  6. Step 6: Final answer
    x = 265,835.98

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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.