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Finding the Fourth Proportional to 382,678.36, 573,645.38 and 182,947

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Solution

The fourth proportional to 382,678.36, 573,645.38 and 182,947 is: 274,242.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,678.36 : 573,645.38 = 182,947 : x
  2. Step 2: Convert to fraction form
    382,678.36/573,645.38 = 182,947/x
  3. Step 3: Cross multiply
    382,678.36x = 573,645.38 × 182,947
  4. Step 4: Simplify right side
    382,678.36x = 104,946,701,334.86
  5. Step 5: Solve for x
    x = 104,946,701,334.86/382,678.36
  6. Step 6: Final answer
    x = 274,242.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.