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Finding the Fourth Proportional to 382,073.40, 573,110.10 and 182,783.03

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Solution

The fourth proportional to 382,073.40, 573,110.10 and 182,783.03 is: 274,174.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,073.40 : 573,110.10 = 182,783.03 : x
  2. Step 2: Convert to fraction form
    382,073.40/573,110.10 = 182,783.03/x
  3. Step 3: Cross multiply
    382,073.40x = 573,110.10 × 182,783.03
  4. Step 4: Simplify right side
    382,073.40x = 104,754,797,736.05
  5. Step 5: Solve for x
    x = 104,754,797,736.05/382,073.40
  6. Step 6: Final answer
    x = 274,174.54

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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.