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Finding the Fourth Proportional to 432,880.67, 649,392.02 and 133,354.55

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Solution

The fourth proportional to 432,880.67, 649,392.02 and 133,354.55 is: 200,053.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,880.67 : 649,392.02 = 133,354.55 : x
  2. Step 2: Convert to fraction form
    432,880.67/649,392.02 = 133,354.55/x
  3. Step 3: Cross multiply
    432,880.67x = 649,392.02 × 133,354.55
  4. Step 4: Simplify right side
    432,880.67x = 86,599,380,600.69
  5. Step 5: Solve for x
    x = 86,599,380,600.69/432,880.67
  6. Step 6: Final answer
    x = 200,053.70

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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.