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Finding the Fourth Proportional to 382,057.80, 573,698.70 and 303,822.60

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Solution

The fourth proportional to 382,057.80, 573,698.70 and 303,822.60 is: 456,220.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,057.80 : 573,698.70 = 303,822.60 : x
  2. Step 2: Convert to fraction form
    382,057.80/573,698.70 = 303,822.60/x
  3. Step 3: Cross multiply
    382,057.80x = 573,698.70 × 303,822.60
  4. Step 4: Simplify right side
    382,057.80x = 174,302,630,650.62
  5. Step 5: Solve for x
    x = 174,302,630,650.62/382,057.80
  6. Step 6: Final answer
    x = 456,220.58

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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.