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Finding the Fourth Proportional to 432,092.80, 648,052.80 and 207,452.80

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Solution

The fourth proportional to 432,092.80, 648,052.80 and 207,452.80 is: 311,137.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,092.80 : 648,052.80 = 207,452.80 : x
  2. Step 2: Convert to fraction form
    432,092.80/648,052.80 = 207,452.80/x
  3. Step 3: Cross multiply
    432,092.80x = 648,052.80 × 207,452.80
  4. Step 4: Simplify right side
    432,092.80x = 134,440,367,907.84
  5. Step 5: Solve for x
    x = 134,440,367,907.84/432,092.80
  6. Step 6: Final answer
    x = 311,137.72

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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.