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Finding the Fourth Proportional to 382,665.21, 574,080.86 and 116,418.81

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Solution

The fourth proportional to 382,665.21, 574,080.86 and 116,418.81 is: 174,653.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,665.21 : 574,080.86 = 116,418.81 : x
  2. Step 2: Convert to fraction form
    382,665.21/574,080.86 = 116,418.81/x
  3. Step 3: Cross multiply
    382,665.21x = 574,080.86 × 116,418.81
  4. Step 4: Simplify right side
    382,665.21x = 66,833,807,112.48
  5. Step 5: Solve for x
    x = 66,833,807,112.48/382,665.21
  6. Step 6: Final answer
    x = 174,653.47

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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.