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Finding the Fourth Proportional to 493,381.76, 680,866.83 and 267,027.26

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Solution

The fourth proportional to 493,381.76, 680,866.83 and 267,027.26 is: 368,497.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,381.76 : 680,866.83 = 267,027.26 : x
  2. Step 2: Convert to fraction form
    493,381.76/680,866.83 = 267,027.26/x
  3. Step 3: Cross multiply
    493,381.76x = 680,866.83 × 267,027.26
  4. Step 4: Simplify right side
    493,381.76x = 181,810,000,635.45
  5. Step 5: Solve for x
    x = 181,810,000,635.45/493,381.76
  6. Step 6: Final answer
    x = 368,497.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.