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Finding the Fourth Proportional to 367,511.72, 507,130.87 and 206,329.82

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Solution

The fourth proportional to 367,511.72, 507,130.87 and 206,329.82 is: 284,715.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,511.72 : 507,130.87 = 206,329.82 : x
  2. Step 2: Convert to fraction form
    367,511.72/507,130.87 = 206,329.82/x
  3. Step 3: Cross multiply
    367,511.72x = 507,130.87 × 206,329.82
  4. Step 4: Simplify right side
    367,511.72x = 104,636,217,556.24
  5. Step 5: Solve for x
    x = 104,636,217,556.24/367,511.72
  6. Step 6: Final answer
    x = 284,715.33

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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.