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Finding the Fourth Proportional to 493,817.50, 681,468.15 and 267,463

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Solution

The fourth proportional to 493,817.50, 681,468.15 and 267,463 is: 369,098.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,817.50 : 681,468.15 = 267,463 : x
  2. Step 2: Convert to fraction form
    493,817.50/681,468.15 = 267,463/x
  3. Step 3: Cross multiply
    493,817.50x = 681,468.15 × 267,463
  4. Step 4: Simplify right side
    493,817.50x = 182,267,515,803.45
  5. Step 5: Solve for x
    x = 182,267,515,803.45/493,817.50
  6. Step 6: Final answer
    x = 369,098.94

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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.