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Finding the Fourth Proportional to 540,414.38, 810,592.34 and 274,167.98

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Solution

The fourth proportional to 540,414.38, 810,592.34 and 274,167.98 is: 411,237.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,414.38 : 810,592.34 = 274,167.98 : x
  2. Step 2: Convert to fraction form
    540,414.38/810,592.34 = 274,167.98/x
  3. Step 3: Cross multiply
    540,414.38x = 810,592.34 × 274,167.98
  4. Step 4: Simplify right side
    540,414.38x = 222,238,465,116.91
  5. Step 5: Solve for x
    x = 222,238,465,116.91/540,414.38
  6. Step 6: Final answer
    x = 411,237.15

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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.