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Finding the Fourth Proportional to 382,463.60, 573,914.10 and 264,219.80

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Solution

The fourth proportional to 382,463.60, 573,914.10 and 264,219.80 is: 396,480.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,463.60 : 573,914.10 = 264,219.80 : x
  2. Step 2: Convert to fraction form
    382,463.60/573,914.10 = 264,219.80/x
  3. Step 3: Cross multiply
    382,463.60x = 573,914.10 × 264,219.80
  4. Step 4: Simplify right side
    382,463.60x = 151,639,468,719.18
  5. Step 5: Solve for x
    x = 151,639,468,719.18/382,463.60
  6. Step 6: Final answer
    x = 396,480.79

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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.