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Finding the Fourth Proportional to 537,169.80, 804,588.30 and 327,217.80

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Solution

The fourth proportional to 537,169.80, 804,588.30 and 327,217.80 is: 490,116.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,169.80 : 804,588.30 = 327,217.80 : x
  2. Step 2: Convert to fraction form
    537,169.80/804,588.30 = 327,217.80/x
  3. Step 3: Cross multiply
    537,169.80x = 804,588.30 × 327,217.80
  4. Step 4: Simplify right side
    537,169.80x = 263,275,613,431.74
  5. Step 5: Solve for x
    x = 263,275,613,431.74/537,169.80
  6. Step 6: Final answer
    x = 490,116.19

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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.