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Finding the Fourth Proportional to 214,447.79, 321,674.42 and 56,674.88

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Solution

The fourth proportional to 214,447.79, 321,674.42 and 56,674.88 is: 85,013.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,447.79 : 321,674.42 = 56,674.88 : x
  2. Step 2: Convert to fraction form
    214,447.79/321,674.42 = 56,674.88/x
  3. Step 3: Cross multiply
    214,447.79x = 321,674.42 × 56,674.88
  4. Step 4: Simplify right side
    214,447.79x = 18,230,857,260.82
  5. Step 5: Solve for x
    x = 18,230,857,260.82/214,447.79
  6. Step 6: Final answer
    x = 85,013.04

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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.