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Finding the Fourth Proportional to 189,647.46, 284,471.06 and 56,524.30

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Solution

The fourth proportional to 189,647.46, 284,471.06 and 56,524.30 is: 84,786.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,647.46 : 284,471.06 = 56,524.30 : x
  2. Step 2: Convert to fraction form
    189,647.46/284,471.06 = 56,524.30/x
  3. Step 3: Cross multiply
    189,647.46x = 284,471.06 × 56,524.30
  4. Step 4: Simplify right side
    189,647.46x = 16,079,526,542.96
  5. Step 5: Solve for x
    x = 16,079,526,542.96/189,647.46
  6. Step 6: Final answer
    x = 84,786.41

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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.