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Finding the Fourth Proportional to 524,745.91, 787,116.17 and 204,930.26

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Solution

The fourth proportional to 524,745.91, 787,116.17 and 204,930.26 is: 307,394.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,745.91 : 787,116.17 = 204,930.26 : x
  2. Step 2: Convert to fraction form
    524,745.91/787,116.17 = 204,930.26/x
  3. Step 3: Cross multiply
    524,745.91x = 787,116.17 × 204,930.26
  4. Step 4: Simplify right side
    524,745.91x = 161,303,920,896.74
  5. Step 5: Solve for x
    x = 161,303,920,896.74/524,745.91
  6. Step 6: Final answer
    x = 307,394.34

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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.