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Finding the Fourth Proportional to 540,642.33, 809,782.25 and 273,944.97

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Solution

The fourth proportional to 540,642.33, 809,782.25 and 273,944.97 is: 410,318.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,642.33 : 809,782.25 = 273,944.97 : x
  2. Step 2: Convert to fraction form
    540,642.33/809,782.25 = 273,944.97/x
  3. Step 3: Cross multiply
    540,642.33x = 809,782.25 × 273,944.97
  4. Step 4: Simplify right side
    540,642.33x = 221,835,772,813.06
  5. Step 5: Solve for x
    x = 221,835,772,813.06/540,642.33
  6. Step 6: Final answer
    x = 410,318.91

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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.