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Finding the Fourth Proportional to 422,411.55, 633,540.42 and 169,681.83

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Solution

The fourth proportional to 422,411.55, 633,540.42 and 169,681.83 is: 254,491.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,411.55 : 633,540.42 = 169,681.83 : x
  2. Step 2: Convert to fraction form
    422,411.55/633,540.42 = 169,681.83/x
  3. Step 3: Cross multiply
    422,411.55x = 633,540.42 × 169,681.83
  4. Step 4: Simplify right side
    422,411.55x = 107,500,297,844.57
  5. Step 5: Solve for x
    x = 107,500,297,844.57/422,411.55
  6. Step 6: Final answer
    x = 254,491.85

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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.