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Finding the Fourth Proportional to 382,478.42, 573,842.44 and 182,814.37

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Solution

The fourth proportional to 382,478.42, 573,842.44 and 182,814.37 is: 274,281.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,478.42 : 573,842.44 = 182,814.37 : x
  2. Step 2: Convert to fraction form
    382,478.42/573,842.44 = 182,814.37/x
  3. Step 3: Cross multiply
    382,478.42x = 573,842.44 × 182,814.37
  4. Step 4: Simplify right side
    382,478.42x = 104,906,642,941.78
  5. Step 5: Solve for x
    x = 104,906,642,941.78/382,478.42
  6. Step 6: Final answer
    x = 274,281.21

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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.