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Finding the Fourth Proportional to 539,727.10, 809,593.31 and 224,184.31

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Solution

The fourth proportional to 539,727.10, 809,593.31 and 224,184.31 is: 336,277.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,727.10 : 809,593.31 = 224,184.31 : x
  2. Step 2: Convert to fraction form
    539,727.10/809,593.31 = 224,184.31/x
  3. Step 3: Cross multiply
    539,727.10x = 809,593.31 × 224,184.31
  4. Step 4: Simplify right side
    539,727.10x = 181,498,116,119.44
  5. Step 5: Solve for x
    x = 181,498,116,119.44/539,727.10
  6. Step 6: Final answer
    x = 336,277.57

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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.