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Finding the Fourth Proportional to 497,163.40, 745,745.10 and 164,696.20

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Solution

The fourth proportional to 497,163.40, 745,745.10 and 164,696.20 is: 247,044.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,163.40 : 745,745.10 = 164,696.20 : x
  2. Step 2: Convert to fraction form
    497,163.40/745,745.10 = 164,696.20/x
  3. Step 3: Cross multiply
    497,163.40x = 745,745.10 × 164,696.20
  4. Step 4: Simplify right side
    497,163.40x = 122,821,384,138.62
  5. Step 5: Solve for x
    x = 122,821,384,138.62/497,163.40
  6. Step 6: Final answer
    x = 247,044.30

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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.