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Finding the Fourth Proportional to 312,249.87, 430,912.78 and 191,457.77

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Solution

The fourth proportional to 312,249.87, 430,912.78 and 191,457.77 is: 264,216.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,249.87 : 430,912.78 = 191,457.77 : x
  2. Step 2: Convert to fraction form
    312,249.87/430,912.78 = 191,457.77/x
  3. Step 3: Cross multiply
    312,249.87x = 430,912.78 × 191,457.77
  4. Step 4: Simplify right side
    312,249.87x = 82,501,597,290.09
  5. Step 5: Solve for x
    x = 82,501,597,290.09/312,249.87
  6. Step 6: Final answer
    x = 264,216.59

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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.