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Finding the Fourth Proportional to 493,996.50, 681,715.80 and 267,642

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Solution

The fourth proportional to 493,996.50, 681,715.80 and 267,642 is: 369,346.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,996.50 : 681,715.80 = 267,642 : x
  2. Step 2: Convert to fraction form
    493,996.50/681,715.80 = 267,642/x
  3. Step 3: Cross multiply
    493,996.50x = 681,715.80 × 267,642
  4. Step 4: Simplify right side
    493,996.50x = 182,455,780,143.60
  5. Step 5: Solve for x
    x = 182,455,780,143.60/493,996.50
  6. Step 6: Final answer
    x = 369,346.30

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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.