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Finding the Fourth Proportional to 382,812.80, 574,219.20 and 264,714.80

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Solution

The fourth proportional to 382,812.80, 574,219.20 and 264,714.80 is: 397,072.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,812.80 : 574,219.20 = 264,714.80 : x
  2. Step 2: Convert to fraction form
    382,812.80/574,219.20 = 264,714.80/x
  3. Step 3: Cross multiply
    382,812.80x = 574,219.20 × 264,714.80
  4. Step 4: Simplify right side
    382,812.80x = 152,004,320,684.16
  5. Step 5: Solve for x
    x = 152,004,320,684.16/382,812.80
  6. Step 6: Final answer
    x = 397,072.20

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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.