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Finding the Fourth Proportional to 382,759.86, 574,201.59 and 116,457.66

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Solution

The fourth proportional to 382,759.86, 574,201.59 and 116,457.66 is: 174,705.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,759.86 : 574,201.59 = 116,457.66 : x
  2. Step 2: Convert to fraction form
    382,759.86/574,201.59 = 116,457.66/x
  3. Step 3: Cross multiply
    382,759.86x = 574,201.59 × 116,457.66
  4. Step 4: Simplify right side
    382,759.86x = 66,870,173,539.68
  5. Step 5: Solve for x
    x = 66,870,173,539.68/382,759.86
  6. Step 6: Final answer
    x = 174,705.29

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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.