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Finding the Fourth Proportional to 432,813.60, 649,220.40 and 327,837.60

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Solution

The fourth proportional to 432,813.60, 649,220.40 and 327,837.60 is: 491,756.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,813.60 : 649,220.40 = 327,837.60 : x
  2. Step 2: Convert to fraction form
    432,813.60/649,220.40 = 327,837.60/x
  3. Step 3: Cross multiply
    432,813.60x = 649,220.40 × 327,837.60
  4. Step 4: Simplify right side
    432,813.60x = 212,838,857,807.04
  5. Step 5: Solve for x
    x = 212,838,857,807.04/432,813.60
  6. Step 6: Final answer
    x = 491,756.40

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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.