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Finding the Fourth Proportional to 289,576.82, 433,885.16 and 204,917.51

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Solution

The fourth proportional to 289,576.82, 433,885.16 and 204,917.51 is: 307,036.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,576.82 : 433,885.16 = 204,917.51 : x
  2. Step 2: Convert to fraction form
    289,576.82/433,885.16 = 204,917.51/x
  3. Step 3: Cross multiply
    289,576.82x = 433,885.16 × 204,917.51
  4. Step 4: Simplify right side
    289,576.82x = 88,910,663,419.14
  5. Step 5: Solve for x
    x = 88,910,663,419.14/289,576.82
  6. Step 6: Final answer
    x = 307,036.54

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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.