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Finding the Fourth Proportional to 382,048.22, 573,039.32 and 129,323.30

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Solution

The fourth proportional to 382,048.22, 573,039.32 and 129,323.30 is: 193,973.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,048.22 : 573,039.32 = 129,323.30 : x
  2. Step 2: Convert to fraction form
    382,048.22/573,039.32 = 129,323.30/x
  3. Step 3: Cross multiply
    382,048.22x = 573,039.32 × 129,323.30
  4. Step 4: Simplify right side
    382,048.22x = 74,107,335,245.54
  5. Step 5: Solve for x
    x = 74,107,335,245.54/382,048.22
  6. Step 6: Final answer
    x = 193,973.77

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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.