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Finding the Fourth Proportional to 432,882.16, 649,469.04 and 272,772.16

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Solution

The fourth proportional to 432,882.16, 649,469.04 and 272,772.16 is: 409,250.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,882.16 : 649,469.04 = 272,772.16 : x
  2. Step 2: Convert to fraction form
    432,882.16/649,469.04 = 272,772.16/x
  3. Step 3: Cross multiply
    432,882.16x = 649,469.04 × 272,772.16
  4. Step 4: Simplify right side
    432,882.16x = 177,157,072,893.93
  5. Step 5: Solve for x
    x = 177,157,072,893.93/432,882.16
  6. Step 6: Final answer
    x = 409,250.11

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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.