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Finding the Fourth Proportional to 493,816.50, 681,466.77 and 267,462

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Solution

The fourth proportional to 493,816.50, 681,466.77 and 267,462 is: 369,097.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,816.50 : 681,466.77 = 267,462 : x
  2. Step 2: Convert to fraction form
    493,816.50/681,466.77 = 267,462/x
  3. Step 3: Cross multiply
    493,816.50x = 681,466.77 × 267,462
  4. Step 4: Simplify right side
    493,816.50x = 182,266,465,237.74
  5. Step 5: Solve for x
    x = 182,266,465,237.74/493,816.50
  6. Step 6: Final answer
    x = 369,097.56

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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.