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Finding the Fourth Proportional to 422,332.29, 633,498.30 and 106,789.14

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Solution

The fourth proportional to 422,332.29, 633,498.30 and 106,789.14 is: 160,183.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,332.29 : 633,498.30 = 106,789.14 : x
  2. Step 2: Convert to fraction form
    422,332.29/633,498.30 = 106,789.14/x
  3. Step 3: Cross multiply
    422,332.29x = 633,498.30 × 106,789.14
  4. Step 4: Simplify right side
    422,332.29x = 67,650,738,648.46
  5. Step 5: Solve for x
    x = 67,650,738,648.46/422,332.29
  6. Step 6: Final answer
    x = 160,183.68

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1.5x scale

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.