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Finding the Fourth Proportional to 432,816.40, 649,224.60 and 273,384.10

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Solution

The fourth proportional to 432,816.40, 649,224.60 and 273,384.10 is: 410,076.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,816.40 : 649,224.60 = 273,384.10 : x
  2. Step 2: Convert to fraction form
    432,816.40/649,224.60 = 273,384.10/x
  3. Step 3: Cross multiply
    432,816.40x = 649,224.60 × 273,384.10
  4. Step 4: Simplify right side
    432,816.40x = 177,487,682,968.86
  5. Step 5: Solve for x
    x = 177,487,682,968.86/432,816.40
  6. Step 6: Final answer
    x = 410,076.15

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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.