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Finding the Fourth Proportional to 382,221.80, 573,770.10 and 224,539.10

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Solution

The fourth proportional to 382,221.80, 573,770.10 and 224,539.10 is: 337,065.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,221.80 : 573,770.10 = 224,539.10 : x
  2. Step 2: Convert to fraction form
    382,221.80/573,770.10 = 224,539.10/x
  3. Step 3: Cross multiply
    382,221.80x = 573,770.10 × 224,539.10
  4. Step 4: Simplify right side
    382,221.80x = 128,833,821,860.91
  5. Step 5: Solve for x
    x = 128,833,821,860.91/382,221.80
  6. Step 6: Final answer
    x = 337,065.60

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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.