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Finding the Fourth Proportional to 416,471.80, 624,523.02 and 191,777.80

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Solution

The fourth proportional to 416,471.80, 624,523.02 and 191,777.80 is: 287,581.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,471.80 : 624,523.02 = 191,777.80 : x
  2. Step 2: Convert to fraction form
    416,471.80/624,523.02 = 191,777.80/x
  3. Step 3: Cross multiply
    416,471.80x = 624,523.02 × 191,777.80
  4. Step 4: Simplify right side
    416,471.80x = 119,769,650,824.96
  5. Step 5: Solve for x
    x = 119,769,650,824.96/416,471.80
  6. Step 6: Final answer
    x = 287,581.66

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1.5x scale

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.