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Finding the Fourth Proportional to 471,100.56, 650,136 and 269,935.44

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Solution

The fourth proportional to 471,100.56, 650,136 and 269,935.44 is: 372,520.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,100.56 : 650,136 = 269,935.44 : x
  2. Step 2: Convert to fraction form
    471,100.56/650,136 = 269,935.44/x
  3. Step 3: Cross multiply
    471,100.56x = 650,136 × 269,935.44
  4. Step 4: Simplify right side
    471,100.56x = 175,494,747,219.84
  5. Step 5: Solve for x
    x = 175,494,747,219.84/471,100.56
  6. Step 6: Final answer
    x = 372,520.78

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1.5x scale

Why These Related Problems?

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