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Finding the Fourth Proportional to 382,022.57, 573,148.44 and 154,200.96

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Solution

The fourth proportional to 382,022.57, 573,148.44 and 154,200.96 is: 231,347.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,022.57 : 573,148.44 = 154,200.96 : x
  2. Step 2: Convert to fraction form
    382,022.57/573,148.44 = 154,200.96/x
  3. Step 3: Cross multiply
    382,022.57x = 573,148.44 × 154,200.96
  4. Step 4: Simplify right side
    382,022.57x = 88,380,039,670.50
  5. Step 5: Solve for x
    x = 88,380,039,670.50/382,022.57
  6. Step 6: Final answer
    x = 231,347.69

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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.