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Finding the Fourth Proportional to 417,122.20, 625,829.10 and 180,634.60

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Solution

The fourth proportional to 417,122.20, 625,829.10 and 180,634.60 is: 271,015.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,122.20 : 625,829.10 = 180,634.60 : x
  2. Step 2: Convert to fraction form
    417,122.20/625,829.10 = 180,634.60/x
  3. Step 3: Cross multiply
    417,122.20x = 625,829.10 × 180,634.60
  4. Step 4: Simplify right side
    417,122.20x = 113,046,389,146.86
  5. Step 5: Solve for x
    x = 113,046,389,146.86/417,122.20
  6. Step 6: Final answer
    x = 271,015.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.