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Finding the Fourth Proportional to 422,488.68, 633,733.47 and 106,945.58

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Solution

The fourth proportional to 422,488.68, 633,733.47 and 106,945.58 is: 160,418.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,488.68 : 633,733.47 = 106,945.58 : x
  2. Step 2: Convert to fraction form
    422,488.68/633,733.47 = 106,945.58/x
  3. Step 3: Cross multiply
    422,488.68x = 633,733.47 × 106,945.58
  4. Step 4: Simplify right side
    422,488.68x = 67,774,995,098.90
  5. Step 5: Solve for x
    x = 67,774,995,098.90/422,488.68
  6. Step 6: Final answer
    x = 160,418.49

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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.