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Finding the Fourth Proportional to 382,735.66, 574,132.83 and 116,518.90

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Solution

The fourth proportional to 382,735.66, 574,132.83 and 116,518.90 is: 174,787.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,735.66 : 574,132.83 = 116,518.90 : x
  2. Step 2: Convert to fraction form
    382,735.66/574,132.83 = 116,518.90/x
  3. Step 3: Cross multiply
    382,735.66x = 574,132.83 × 116,518.90
  4. Step 4: Simplify right side
    382,735.66x = 66,897,325,805.49
  5. Step 5: Solve for x
    x = 66,897,325,805.49/382,735.66
  6. Step 6: Final answer
    x = 174,787.28

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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.