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Finding the Fourth Proportional to 382,612.20, 573,918.30 and 323,563.20

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Solution

The fourth proportional to 382,612.20, 573,918.30 and 323,563.20 is: 485,344.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,612.20 : 573,918.30 = 323,563.20 : x
  2. Step 2: Convert to fraction form
    382,612.20/573,918.30 = 323,563.20/x
  3. Step 3: Cross multiply
    382,612.20x = 573,918.30 × 323,563.20
  4. Step 4: Simplify right side
    382,612.20x = 185,698,841,686.56
  5. Step 5: Solve for x
    x = 185,698,841,686.56/382,612.20
  6. Step 6: Final answer
    x = 485,344.80

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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.