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Finding the Fourth Proportional to 382,394.80, 573,592.20 and 321,569.20

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Solution

The fourth proportional to 382,394.80, 573,592.20 and 321,569.20 is: 482,353.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,394.80 : 573,592.20 = 321,569.20 : x
  2. Step 2: Convert to fraction form
    382,394.80/573,592.20 = 321,569.20/x
  3. Step 3: Cross multiply
    382,394.80x = 573,592.20 × 321,569.20
  4. Step 4: Simplify right side
    382,394.80x = 184,449,584,880.24
  5. Step 5: Solve for x
    x = 184,449,584,880.24/382,394.80
  6. Step 6: Final answer
    x = 482,353.80

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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.