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Finding the Fourth Proportional to 422,634.96, 633,719.16 and 173,491.92

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Solution

The fourth proportional to 422,634.96, 633,719.16 and 173,491.92 is: 260,142.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,634.96 : 633,719.16 = 173,491.92 : x
  2. Step 2: Convert to fraction form
    422,634.96/633,719.16 = 173,491.92/x
  3. Step 3: Cross multiply
    422,634.96x = 633,719.16 × 173,491.92
  4. Step 4: Simplify right side
    422,634.96x = 109,945,153,809.19
  5. Step 5: Solve for x
    x = 109,945,153,809.19/422,634.96
  6. Step 6: Final answer
    x = 260,142.12

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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.