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Finding the Fourth Proportional to 548,198.40, 822,353.99 and 206,929.28

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Solution

The fourth proportional to 548,198.40, 822,353.99 and 206,929.28 is: 310,415.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,198.40 : 822,353.99 = 206,929.28 : x
  2. Step 2: Convert to fraction form
    548,198.40/822,353.99 = 206,929.28/x
  3. Step 3: Cross multiply
    548,198.40x = 822,353.99 × 206,929.28
  4. Step 4: Simplify right side
    548,198.40x = 170,169,118,545.21
  5. Step 5: Solve for x
    x = 170,169,118,545.21/548,198.40
  6. Step 6: Final answer
    x = 310,415.21

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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.