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Finding the Fourth Proportional to 432,837.60, 649,256.40 and 327,861.60

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Solution

The fourth proportional to 432,837.60, 649,256.40 and 327,861.60 is: 491,792.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,837.60 : 649,256.40 = 327,861.60 : x
  2. Step 2: Convert to fraction form
    432,837.60/649,256.40 = 327,861.60/x
  3. Step 3: Cross multiply
    432,837.60x = 649,256.40 × 327,861.60
  4. Step 4: Simplify right side
    432,837.60x = 212,866,242,114.24
  5. Step 5: Solve for x
    x = 212,866,242,114.24/432,837.60
  6. Step 6: Final answer
    x = 491,792.40

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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.