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Finding the Fourth Proportional to 285,486.80, 428,230.20 and 202,542.80

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Solution

The fourth proportional to 285,486.80, 428,230.20 and 202,542.80 is: 303,814.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,486.80 : 428,230.20 = 202,542.80 : x
  2. Step 2: Convert to fraction form
    285,486.80/428,230.20 = 202,542.80/x
  3. Step 3: Cross multiply
    285,486.80x = 428,230.20 × 202,542.80
  4. Step 4: Simplify right side
    285,486.80x = 86,734,943,752.56
  5. Step 5: Solve for x
    x = 86,734,943,752.56/285,486.80
  6. Step 6: Final answer
    x = 303,814.20

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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.