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Finding the Fourth Proportional to 548,661.57, 823,062.43 and 211,798.53

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Solution

The fourth proportional to 548,661.57, 823,062.43 and 211,798.53 is: 317,724.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,661.57 : 823,062.43 = 211,798.53 : x
  2. Step 2: Convert to fraction form
    548,661.57/823,062.43 = 211,798.53/x
  3. Step 3: Cross multiply
    548,661.57x = 823,062.43 × 211,798.53
  4. Step 4: Simplify right side
    548,661.57x = 174,323,413,036.98
  5. Step 5: Solve for x
    x = 174,323,413,036.98/548,661.57
  6. Step 6: Final answer
    x = 317,724.85

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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.