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Finding the Fourth Proportional to 383,881.76, 575,823.60 and 196,791.20

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Solution

The fourth proportional to 383,881.76, 575,823.60 and 196,791.20 is: 295,187.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,881.76 : 575,823.60 = 196,791.20 : x
  2. Step 2: Convert to fraction form
    383,881.76/575,823.60 = 196,791.20/x
  3. Step 3: Cross multiply
    383,881.76x = 575,823.60 × 196,791.20
  4. Step 4: Simplify right side
    383,881.76x = 113,317,017,232.32
  5. Step 5: Solve for x
    x = 113,317,017,232.32/383,881.76
  6. Step 6: Final answer
    x = 295,187.29

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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.