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Finding the Fourth Proportional to 432,857.60, 649,286.40 and 327,881.60

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Solution

The fourth proportional to 432,857.60, 649,286.40 and 327,881.60 is: 491,822.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,857.60 : 649,286.40 = 327,881.60 : x
  2. Step 2: Convert to fraction form
    432,857.60/649,286.40 = 327,881.60/x
  3. Step 3: Cross multiply
    432,857.60x = 649,286.40 × 327,881.60
  4. Step 4: Simplify right side
    432,857.60x = 212,889,063,690.24
  5. Step 5: Solve for x
    x = 212,889,063,690.24/432,857.60
  6. Step 6: Final answer
    x = 491,822.40

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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.