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Finding the Fourth Proportional to 382,858.82, 574,370.28 and 116,640.78

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Solution

The fourth proportional to 382,858.82, 574,370.28 and 116,640.78 is: 174,986.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,858.82 : 574,370.28 = 116,640.78 : x
  2. Step 2: Convert to fraction form
    382,858.82/574,370.28 = 116,640.78/x
  3. Step 3: Cross multiply
    382,858.82x = 574,370.28 × 116,640.78
  4. Step 4: Simplify right side
    382,858.82x = 66,994,997,468.02
  5. Step 5: Solve for x
    x = 66,994,997,468.02/382,858.82
  6. Step 6: Final answer
    x = 174,986.17

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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.