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Finding the Fourth Proportional to 539,475.56, 809,300.94 and 202,542.68

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Solution

The fourth proportional to 539,475.56, 809,300.94 and 202,542.68 is: 303,846.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,475.56 : 809,300.94 = 202,542.68 : x
  2. Step 2: Convert to fraction form
    539,475.56/809,300.94 = 202,542.68/x
  3. Step 3: Cross multiply
    539,475.56x = 809,300.94 × 202,542.68
  4. Step 4: Simplify right side
    539,475.56x = 163,917,981,314.12
  5. Step 5: Solve for x
    x = 163,917,981,314.12/539,475.56
  6. Step 6: Final answer
    x = 303,846.91

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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.