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Finding the Fourth Proportional to 493,698.21, 681,299.64 and 267,343.71

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Solution

The fourth proportional to 493,698.21, 681,299.64 and 267,343.71 is: 368,932.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,698.21 : 681,299.64 = 267,343.71 : x
  2. Step 2: Convert to fraction form
    493,698.21/681,299.64 = 267,343.71/x
  3. Step 3: Cross multiply
    493,698.21x = 681,299.64 × 267,343.71
  4. Step 4: Simplify right side
    493,698.21x = 182,141,173,379.26
  5. Step 5: Solve for x
    x = 182,141,173,379.26/493,698.21
  6. Step 6: Final answer
    x = 368,932.21

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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.