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Finding the Fourth Proportional to 548,200.05, 822,356.48 and 206,930.94

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Solution

The fourth proportional to 548,200.05, 822,356.48 and 206,930.94 is: 310,417.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,200.05 : 822,356.48 = 206,930.94 : x
  2. Step 2: Convert to fraction form
    548,200.05/822,356.48 = 206,930.94/x
  3. Step 3: Cross multiply
    548,200.05x = 822,356.48 × 206,930.94
  4. Step 4: Simplify right side
    548,200.05x = 170,170,998,386.84
  5. Step 5: Solve for x
    x = 170,170,998,386.84/548,200.05
  6. Step 6: Final answer
    x = 310,417.70

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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.