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Finding the Fourth Proportional to 382,242.60, 573,363.90 and 193,285.80

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Solution

The fourth proportional to 382,242.60, 573,363.90 and 193,285.80 is: 289,928.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,242.60 : 573,363.90 = 193,285.80 : x
  2. Step 2: Convert to fraction form
    382,242.60/573,363.90 = 193,285.80/x
  3. Step 3: Cross multiply
    382,242.60x = 573,363.90 × 193,285.80
  4. Step 4: Simplify right side
    382,242.60x = 110,823,100,102.62
  5. Step 5: Solve for x
    x = 110,823,100,102.62/382,242.60
  6. Step 6: Final answer
    x = 289,928.70

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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.