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Finding the Fourth Proportional to 382,592.10, 573,770.47 and 126,378.64

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Solution

The fourth proportional to 382,592.10, 573,770.47 and 126,378.64 is: 189,529.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,592.10 : 573,770.47 = 126,378.64 : x
  2. Step 2: Convert to fraction form
    382,592.10/573,770.47 = 126,378.64/x
  3. Step 3: Cross multiply
    382,592.10x = 573,770.47 × 126,378.64
  4. Step 4: Simplify right side
    382,592.10x = 72,512,333,249.14
  5. Step 5: Solve for x
    x = 72,512,333,249.14/382,592.10
  6. Step 6: Final answer
    x = 189,529.09

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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.