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Finding the Fourth Proportional to 546,896.37, 820,426.60 and 191,847.86

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Solution

The fourth proportional to 546,896.37, 820,426.60 and 191,847.86 is: 287,800.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,896.37 : 820,426.60 = 191,847.86 : x
  2. Step 2: Convert to fraction form
    546,896.37/820,426.60 = 191,847.86/x
  3. Step 3: Cross multiply
    546,896.37x = 820,426.60 × 191,847.86
  4. Step 4: Simplify right side
    546,896.37x = 157,397,083,874.56
  5. Step 5: Solve for x
    x = 157,397,083,874.56/546,896.37
  6. Step 6: Final answer
    x = 287,800.56

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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.