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Finding the Fourth Proportional to 422,019.20, 633,029.85 and 106,476.12

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Solution

The fourth proportional to 422,019.20, 633,029.85 and 106,476.12 is: 159,714.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,019.20 : 633,029.85 = 106,476.12 : x
  2. Step 2: Convert to fraction form
    422,019.20/633,029.85 = 106,476.12/x
  3. Step 3: Cross multiply
    422,019.20x = 633,029.85 × 106,476.12
  4. Step 4: Simplify right side
    422,019.20x = 67,402,562,272.18
  5. Step 5: Solve for x
    x = 67,402,562,272.18/422,019.20
  6. Step 6: Final answer
    x = 159,714.44

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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.