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Finding the Fourth Proportional to 654,316.65, 981,475.11 and 205,037.43

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Solution

The fourth proportional to 654,316.65, 981,475.11 and 205,037.43 is: 307,556.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,316.65 : 981,475.11 = 205,037.43 : x
  2. Step 2: Convert to fraction form
    654,316.65/981,475.11 = 205,037.43/x
  3. Step 3: Cross multiply
    654,316.65x = 981,475.11 × 205,037.43
  4. Step 4: Simplify right side
    654,316.65x = 201,239,134,163.37
  5. Step 5: Solve for x
    x = 201,239,134,163.37/654,316.65
  6. Step 6: Final answer
    x = 307,556.19

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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.