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Finding the Fourth Proportional to 471,709.94, 650,956.94 and 256,849.49

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Solution

The fourth proportional to 471,709.94, 650,956.94 and 256,849.49 is: 354,450.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,709.94 : 650,956.94 = 256,849.49 : x
  2. Step 2: Convert to fraction form
    471,709.94/650,956.94 = 256,849.49/x
  3. Step 3: Cross multiply
    471,709.94x = 650,956.94 × 256,849.49
  4. Step 4: Simplify right side
    471,709.94x = 167,197,958,050.96
  5. Step 5: Solve for x
    x = 167,197,958,050.96/471,709.94
  6. Step 6: Final answer
    x = 354,450.78

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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.