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Finding the Fourth Proportional to 314,512.20, 434,029.32 and 171,272.88

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Solution

The fourth proportional to 314,512.20, 434,029.32 and 171,272.88 is: 236,357.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,512.20 : 434,029.32 = 171,272.88 : x
  2. Step 2: Convert to fraction form
    314,512.20/434,029.32 = 171,272.88/x
  3. Step 3: Cross multiply
    314,512.20x = 434,029.32 × 171,272.88
  4. Step 4: Simplify right side
    314,512.20x = 74,337,451,640.84
  5. Step 5: Solve for x
    x = 74,337,451,640.84/314,512.20
  6. Step 6: Final answer
    x = 236,357.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.