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Finding the Fourth Proportional to 275,200.05, 412,800.08 and 264,702.45

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Solution

The fourth proportional to 275,200.05, 412,800.08 and 264,702.45 is: 397,053.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,200.05 : 412,800.08 = 264,702.45 : x
  2. Step 2: Convert to fraction form
    275,200.05/412,800.08 = 264,702.45/x
  3. Step 3: Cross multiply
    275,200.05x = 412,800.08 × 264,702.45
  4. Step 4: Simplify right side
    275,200.05x = 109,269,191,212.68
  5. Step 5: Solve for x
    x = 109,269,191,212.68/275,200.05
  6. Step 6: Final answer
    x = 397,053.68

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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.