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Finding the Fourth Proportional to 382,908.60, 574,581.60 and 264,664.80

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Solution

The fourth proportional to 382,908.60, 574,581.60 and 264,664.80 is: 397,148.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,908.60 : 574,581.60 = 264,664.80 : x
  2. Step 2: Convert to fraction form
    382,908.60/574,581.60 = 264,664.80/x
  3. Step 3: Cross multiply
    382,908.60x = 574,581.60 × 264,664.80
  4. Step 4: Simplify right side
    382,908.60x = 152,071,524,247.68
  5. Step 5: Solve for x
    x = 152,071,524,247.68/382,908.60
  6. Step 6: Final answer
    x = 397,148.36

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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.