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Finding the Fourth Proportional to 509,089.20, 763,633.80 and 259,738.80

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Solution

The fourth proportional to 509,089.20, 763,633.80 and 259,738.80 is: 389,608.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,089.20 : 763,633.80 = 259,738.80 : x
  2. Step 2: Convert to fraction form
    509,089.20/763,633.80 = 259,738.80/x
  3. Step 3: Cross multiply
    509,089.20x = 763,633.80 × 259,738.80
  4. Step 4: Simplify right side
    509,089.20x = 198,345,326,851.44
  5. Step 5: Solve for x
    x = 198,345,326,851.44/509,089.20
  6. Step 6: Final answer
    x = 389,608.20

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Similar ratio
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1.5x scale

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.