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Finding the Fourth Proportional to 354,924.99, 531,538.74 and 204,709.89

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Solution

The fourth proportional to 354,924.99, 531,538.74 and 204,709.89 is: 306,575.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,924.99 : 531,538.74 = 204,709.89 : x
  2. Step 2: Convert to fraction form
    354,924.99/531,538.74 = 204,709.89/x
  3. Step 3: Cross multiply
    354,924.99x = 531,538.74 × 204,709.89
  4. Step 4: Simplify right side
    354,924.99x = 108,811,236,996.14
  5. Step 5: Solve for x
    x = 108,811,236,996.14/354,924.99
  6. Step 6: Final answer
    x = 306,575.30

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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.