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Finding the Fourth Proportional to 382,700.96, 573,765.48 and 264,033.68

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Solution

The fourth proportional to 382,700.96, 573,765.48 and 264,033.68 is: 395,853.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,700.96 : 573,765.48 = 264,033.68 : x
  2. Step 2: Convert to fraction form
    382,700.96/573,765.48 = 264,033.68/x
  3. Step 3: Cross multiply
    382,700.96x = 573,765.48 × 264,033.68
  4. Step 4: Simplify right side
    382,700.96x = 151,493,411,141.37
  5. Step 5: Solve for x
    x = 151,493,411,141.37/382,700.96
  6. Step 6: Final answer
    x = 395,853.23

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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.