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Finding the Fourth Proportional to 494,046.51, 681,784.68 and 267,692.01

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Solution

The fourth proportional to 494,046.51, 681,784.68 and 267,692.01 is: 369,415.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,046.51 : 681,784.68 = 267,692.01 : x
  2. Step 2: Convert to fraction form
    494,046.51/681,784.68 = 267,692.01/x
  3. Step 3: Cross multiply
    494,046.51x = 681,784.68 × 267,692.01
  4. Step 4: Simplify right side
    494,046.51x = 182,508,311,376.41
  5. Step 5: Solve for x
    x = 182,508,311,376.41/494,046.51
  6. Step 6: Final answer
    x = 369,415.24

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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.