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Finding the Fourth Proportional to 432,801.60, 649,202.40 and 327,825.60

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Solution

The fourth proportional to 432,801.60, 649,202.40 and 327,825.60 is: 491,738.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,801.60 : 649,202.40 = 327,825.60 : x
  2. Step 2: Convert to fraction form
    432,801.60/649,202.40 = 327,825.60/x
  3. Step 3: Cross multiply
    432,801.60x = 649,202.40 × 327,825.60
  4. Step 4: Simplify right side
    432,801.60x = 212,825,166,301.44
  5. Step 5: Solve for x
    x = 212,825,166,301.44/432,801.60
  6. Step 6: Final answer
    x = 491,738.40

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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.