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Finding the Fourth Proportional to 382,024.80, 573,649.20 and 303,789.60

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Solution

The fourth proportional to 382,024.80, 573,649.20 and 303,789.60 is: 456,171.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,024.80 : 573,649.20 = 303,789.60 : x
  2. Step 2: Convert to fraction form
    382,024.80/573,649.20 = 303,789.60/x
  3. Step 3: Cross multiply
    382,024.80x = 573,649.20 × 303,789.60
  4. Step 4: Simplify right side
    382,024.80x = 174,268,661,008.32
  5. Step 5: Solve for x
    x = 174,268,661,008.32/382,024.80
  6. Step 6: Final answer
    x = 456,171.07

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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.