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Finding the Fourth Proportional to 540,092.66, 809,638.20 and 185,022.27

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Solution

The fourth proportional to 540,092.66, 809,638.20 and 185,022.27 is: 277,361.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,092.66 : 809,638.20 = 185,022.27 : x
  2. Step 2: Convert to fraction form
    540,092.66/809,638.20 = 185,022.27/x
  3. Step 3: Cross multiply
    540,092.66x = 809,638.20 × 185,022.27
  4. Step 4: Simplify right side
    540,092.66x = 149,801,097,642.71
  5. Step 5: Solve for x
    x = 149,801,097,642.71/540,092.66
  6. Step 6: Final answer
    x = 277,361.85

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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.